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Finding the Third Proportional to 724,915 and 1,569,296

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Solution

The third proportional to 724,915 and 1,569,296 is: 3,397,212.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,915 : 1,569,296 = 1,569,296 : x
  2. Step 2: Convert to fraction form
    724,915/1,569,296 = 1,569,296/x
  3. Step 3: Cross multiply
    724,915x = 1,569,296 × 1,569,296
  4. Step 4: Simplify right side
    724,915x = 2,462,689,935,616
  5. Step 5: Solve for x
    x = 2,462,689,935,616/724,915
  6. Step 6: Final answer
    x = 3,397,212.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.