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Finding the Third Proportional to 581,654 and 869,007

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Solution

The third proportional to 581,654 and 869,007 is: 1,298,320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,654 : 869,007 = 869,007 : x
  2. Step 2: Convert to fraction form
    581,654/869,007 = 869,007/x
  3. Step 3: Cross multiply
    581,654x = 869,007 × 869,007
  4. Step 4: Simplify right side
    581,654x = 755,173,166,049
  5. Step 5: Solve for x
    x = 755,173,166,049/581,654
  6. Step 6: Final answer
    x = 1,298,320.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.