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Finding the Third Proportional to 655,028 and 1,041,592

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Solution

The third proportional to 655,028 and 1,041,592 is: 1,656,286.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,028 : 1,041,592 = 1,041,592 : x
  2. Step 2: Convert to fraction form
    655,028/1,041,592 = 1,041,592/x
  3. Step 3: Cross multiply
    655,028x = 1,041,592 × 1,041,592
  4. Step 4: Simplify right side
    655,028x = 1,084,913,894,464
  5. Step 5: Solve for x
    x = 1,084,913,894,464/655,028
  6. Step 6: Final answer
    x = 1,656,286.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.