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Finding the Third Proportional to 730,624 and 1,146,422

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Solution

The third proportional to 730,624 and 1,146,422 is: 1,798,850.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,624 : 1,146,422 = 1,146,422 : x
  2. Step 2: Convert to fraction form
    730,624/1,146,422 = 1,146,422/x
  3. Step 3: Cross multiply
    730,624x = 1,146,422 × 1,146,422
  4. Step 4: Simplify right side
    730,624x = 1,314,283,402,084
  5. Step 5: Solve for x
    x = 1,314,283,402,084/730,624
  6. Step 6: Final answer
    x = 1,798,850.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.