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Finding the Third Proportional to 763,126 and 1,657,466

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Solution

The third proportional to 763,126 and 1,657,466 is: 3,599,921.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,126 : 1,657,466 = 1,657,466 : x
  2. Step 2: Convert to fraction form
    763,126/1,657,466 = 1,657,466/x
  3. Step 3: Cross multiply
    763,126x = 1,657,466 × 1,657,466
  4. Step 4: Simplify right side
    763,126x = 2,747,193,541,156
  5. Step 5: Solve for x
    x = 2,747,193,541,156/763,126
  6. Step 6: Final answer
    x = 3,599,921.30

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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.