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Finding the Third Proportional to 632,007 and 1,352,583

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Solution

The third proportional to 632,007 and 1,352,583 is: 2,894,716.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,007 : 1,352,583 = 1,352,583 : x
  2. Step 2: Convert to fraction form
    632,007/1,352,583 = 1,352,583/x
  3. Step 3: Cross multiply
    632,007x = 1,352,583 × 1,352,583
  4. Step 4: Simplify right side
    632,007x = 1,829,480,771,889
  5. Step 5: Solve for x
    x = 1,829,480,771,889/632,007
  6. Step 6: Final answer
    x = 2,894,716.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.