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Finding the Third Proportional to 574,488,589.50 and 909,828,355.50

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Solution

The third proportional to 574,488,589.50 and 909,828,355.50 is: 1,440,912,233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,488,589.50 : 909,828,355.50 = 909,828,355.50 : x
  2. Step 2: Convert to fraction form
    574,488,589.50/909,828,355.50 = 909,828,355.50/x
  3. Step 3: Cross multiply
    574,488,589.50x = 909,828,355.50 × 909,828,355.50
  4. Step 4: Simplify right side
    574,488,589.50x = 827,787,636,471,834,368
  5. Step 5: Solve for x
    x = 827,787,636,471,834,368/574,488,589.50
  6. Step 6: Final answer
    x = 1,440,912,233.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.