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Finding the Third Proportional to 615,069 and 865,774

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Solution

The third proportional to 615,069 and 865,774 is: 1,218,667.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,069 : 865,774 = 865,774 : x
  2. Step 2: Convert to fraction form
    615,069/865,774 = 865,774/x
  3. Step 3: Cross multiply
    615,069x = 865,774 × 865,774
  4. Step 4: Simplify right side
    615,069x = 749,564,619,076
  5. Step 5: Solve for x
    x = 749,564,619,076/615,069
  6. Step 6: Final answer
    x = 1,218,667.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.