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Finding the Third Proportional to 862,963 and 1,877,432

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Solution

The third proportional to 862,963 and 1,877,432 is: 4,084,475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,963 : 1,877,432 = 1,877,432 : x
  2. Step 2: Convert to fraction form
    862,963/1,877,432 = 1,877,432/x
  3. Step 3: Cross multiply
    862,963x = 1,877,432 × 1,877,432
  4. Step 4: Simplify right side
    862,963x = 3,524,750,914,624
  5. Step 5: Solve for x
    x = 3,524,750,914,624/862,963
  6. Step 6: Final answer
    x = 4,084,475.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.