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Finding the Third Proportional to 858,098 and 1,165,403

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Solution

The third proportional to 858,098 and 1,165,403 is: 1,582,761.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,098 : 1,165,403 = 1,165,403 : x
  2. Step 2: Convert to fraction form
    858,098/1,165,403 = 1,165,403/x
  3. Step 3: Cross multiply
    858,098x = 1,165,403 × 1,165,403
  4. Step 4: Simplify right side
    858,098x = 1,358,164,152,409
  5. Step 5: Solve for x
    x = 1,358,164,152,409/858,098
  6. Step 6: Final answer
    x = 1,582,761.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.