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Finding the Third Proportional to 762,957 and 1,657,002

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Solution

The third proportional to 762,957 and 1,657,002 is: 3,598,702.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,957 : 1,657,002 = 1,657,002 : x
  2. Step 2: Convert to fraction form
    762,957/1,657,002 = 1,657,002/x
  3. Step 3: Cross multiply
    762,957x = 1,657,002 × 1,657,002
  4. Step 4: Simplify right side
    762,957x = 2,745,655,628,004
  5. Step 5: Solve for x
    x = 2,745,655,628,004/762,957
  6. Step 6: Final answer
    x = 3,598,702.98

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