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Finding the Third Proportional to 724,894 and 1,569,254

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Solution

The third proportional to 724,894 and 1,569,254 is: 3,397,128.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,894 : 1,569,254 = 1,569,254 : x
  2. Step 2: Convert to fraction form
    724,894/1,569,254 = 1,569,254/x
  3. Step 3: Cross multiply
    724,894x = 1,569,254 × 1,569,254
  4. Step 4: Simplify right side
    724,894x = 2,462,558,116,516
  5. Step 5: Solve for x
    x = 2,462,558,116,516/724,894
  6. Step 6: Final answer
    x = 3,397,128.57

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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.