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Finding the Third Proportional to 724,335,404 and 1,569,004,212

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Solution

The third proportional to 724,335,404 and 1,569,004,212 is: 3,398,666,147.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,335,404 : 1,569,004,212 = 1,569,004,212 : x
  2. Step 2: Convert to fraction form
    724,335,404/1,569,004,212 = 1,569,004,212/x
  3. Step 3: Cross multiply
    724,335,404x = 1,569,004,212 × 1,569,004,212
  4. Step 4: Simplify right side
    724,335,404x = 2,461,774,217,273,740,800
  5. Step 5: Solve for x
    x = 2,461,774,217,273,740,800/724,335,404
  6. Step 6: Final answer
    x = 3,398,666,147.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.