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Finding the Third Proportional to 766,410 and 1,160,217

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Solution

The third proportional to 766,410 and 1,160,217 is: 1,756,375.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,410 : 1,160,217 = 1,160,217 : x
  2. Step 2: Convert to fraction form
    766,410/1,160,217 = 1,160,217/x
  3. Step 3: Cross multiply
    766,410x = 1,160,217 × 1,160,217
  4. Step 4: Simplify right side
    766,410x = 1,346,103,487,089
  5. Step 5: Solve for x
    x = 1,346,103,487,089/766,410
  6. Step 6: Final answer
    x = 1,756,375.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.