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Finding the Third Proportional to 766,414 and 1,160,224

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Solution

The third proportional to 766,414 and 1,160,224 is: 1,756,387.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,414 : 1,160,224 = 1,160,224 : x
  2. Step 2: Convert to fraction form
    766,414/1,160,224 = 1,160,224/x
  3. Step 3: Cross multiply
    766,414x = 1,160,224 × 1,160,224
  4. Step 4: Simplify right side
    766,414x = 1,346,119,730,176
  5. Step 5: Solve for x
    x = 1,346,119,730,176/766,414
  6. Step 6: Final answer
    x = 1,756,387.19

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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.