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Finding the Third Proportional to 1,762,023 and 2,800,570.50

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Solution

The third proportional to 1,762,023 and 2,800,570.50 is: 4,451,244.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762,023 : 2,800,570.50 = 2,800,570.50 : x
  2. Step 2: Convert to fraction form
    1,762,023/2,800,570.50 = 2,800,570.50/x
  3. Step 3: Cross multiply
    1,762,023x = 2,800,570.50 × 2,800,570.50
  4. Step 4: Simplify right side
    1,762,023x = 7,843,195,125,470.25
  5. Step 5: Solve for x
    x = 7,843,195,125,470.25/1,762,023
  6. Step 6: Final answer
    x = 4,451,244.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.