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Finding the Third Proportional to 656,236.69 and 1,071,569.25

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Solution

The third proportional to 656,236.69 and 1,071,569.25 is: 1,749,766.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,236.69 : 1,071,569.25 = 1,071,569.25 : x
  2. Step 2: Convert to fraction form
    656,236.69/1,071,569.25 = 1,071,569.25/x
  3. Step 3: Cross multiply
    656,236.69x = 1,071,569.25 × 1,071,569.25
  4. Step 4: Simplify right side
    656,236.69x = 1,148,260,657,545.56
  5. Step 5: Solve for x
    x = 1,148,260,657,545.56/656,236.69
  6. Step 6: Final answer
    x = 1,749,766.02

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.