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Finding the Third Proportional to 762,280.88 and 1,657,422

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Solution

The third proportional to 762,280.88 and 1,657,422 is: 3,603,721.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,280.88 : 1,657,422 = 1,657,422 : x
  2. Step 2: Convert to fraction form
    762,280.88/1,657,422 = 1,657,422/x
  3. Step 3: Cross multiply
    762,280.88x = 1,657,422 × 1,657,422
  4. Step 4: Simplify right side
    762,280.88x = 2,747,047,686,084
  5. Step 5: Solve for x
    x = 2,747,047,686,084/762,280.88
  6. Step 6: Final answer
    x = 3,603,721.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.