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Finding the Third Proportional to 915,822 and 1,346,292

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Solution

The third proportional to 915,822 and 1,346,292 is: 1,979,098.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    915,822 : 1,346,292 = 1,346,292 : x
  2. Step 2: Convert to fraction form
    915,822/1,346,292 = 1,346,292/x
  3. Step 3: Cross multiply
    915,822x = 1,346,292 × 1,346,292
  4. Step 4: Simplify right side
    915,822x = 1,812,502,149,264
  5. Step 5: Solve for x
    x = 1,812,502,149,264/915,822
  6. Step 6: Final answer
    x = 1,979,098.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.