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Finding the Third Proportional to 702,432 and 1,511,384

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Solution

The third proportional to 702,432 and 1,511,384 is: 3,251,961.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,432 : 1,511,384 = 1,511,384 : x
  2. Step 2: Convert to fraction form
    702,432/1,511,384 = 1,511,384/x
  3. Step 3: Cross multiply
    702,432x = 1,511,384 × 1,511,384
  4. Step 4: Simplify right side
    702,432x = 2,284,281,595,456
  5. Step 5: Solve for x
    x = 2,284,281,595,456/702,432
  6. Step 6: Final answer
    x = 3,251,961.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.