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Finding the Third Proportional to 724,889 and 1,569,246

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Solution

The third proportional to 724,889 and 1,569,246 is: 3,397,117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,889 : 1,569,246 = 1,569,246 : x
  2. Step 2: Convert to fraction form
    724,889/1,569,246 = 1,569,246/x
  3. Step 3: Cross multiply
    724,889x = 1,569,246 × 1,569,246
  4. Step 4: Simplify right side
    724,889x = 2,462,533,008,516
  5. Step 5: Solve for x
    x = 2,462,533,008,516/724,889
  6. Step 6: Final answer
    x = 3,397,117.36

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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.