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Finding the Third Proportional to 747,701 and 1,640,154

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Solution

The third proportional to 747,701 and 1,640,154 is: 3,597,835.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,701 : 1,640,154 = 1,640,154 : x
  2. Step 2: Convert to fraction form
    747,701/1,640,154 = 1,640,154/x
  3. Step 3: Cross multiply
    747,701x = 1,640,154 × 1,640,154
  4. Step 4: Simplify right side
    747,701x = 2,690,105,143,716
  5. Step 5: Solve for x
    x = 2,690,105,143,716/747,701
  6. Step 6: Final answer
    x = 3,597,835.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.