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Finding the Third Proportional to 724,896 and 1,569,258

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Solution

The third proportional to 724,896 and 1,569,258 is: 3,397,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,896 : 1,569,258 = 1,569,258 : x
  2. Step 2: Convert to fraction form
    724,896/1,569,258 = 1,569,258/x
  3. Step 3: Cross multiply
    724,896x = 1,569,258 × 1,569,258
  4. Step 4: Simplify right side
    724,896x = 2,462,570,670,564
  5. Step 5: Solve for x
    x = 2,462,570,670,564/724,896
  6. Step 6: Final answer
    x = 3,397,136.51

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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.