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Finding the Third Proportional to 705,129 and 1,522,464

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Solution

The third proportional to 705,129 and 1,522,464 is: 3,287,195.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,129 : 1,522,464 = 1,522,464 : x
  2. Step 2: Convert to fraction form
    705,129/1,522,464 = 1,522,464/x
  3. Step 3: Cross multiply
    705,129x = 1,522,464 × 1,522,464
  4. Step 4: Simplify right side
    705,129x = 2,317,896,631,296
  5. Step 5: Solve for x
    x = 2,317,896,631,296/705,129
  6. Step 6: Final answer
    x = 3,287,195.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.