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Finding the Third Proportional to 426,654 and 916,569

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Solution

The third proportional to 426,654 and 916,569 is: 1,969,039.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,654 : 916,569 = 916,569 : x
  2. Step 2: Convert to fraction form
    426,654/916,569 = 916,569/x
  3. Step 3: Cross multiply
    426,654x = 916,569 × 916,569
  4. Step 4: Simplify right side
    426,654x = 840,098,731,761
  5. Step 5: Solve for x
    x = 840,098,731,761/426,654
  6. Step 6: Final answer
    x = 1,969,039.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.