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Finding the Third Proportional to 762,952 and 1,675,280

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Solution

The third proportional to 762,952 and 1,675,280 is: 3,678,557.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,952 : 1,675,280 = 1,675,280 : x
  2. Step 2: Convert to fraction form
    762,952/1,675,280 = 1,675,280/x
  3. Step 3: Cross multiply
    762,952x = 1,675,280 × 1,675,280
  4. Step 4: Simplify right side
    762,952x = 2,806,563,078,400
  5. Step 5: Solve for x
    x = 2,806,563,078,400/762,952
  6. Step 6: Final answer
    x = 3,678,557.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.