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Finding the Third Proportional to 1,435,832 and 3,132,464

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Solution

The third proportional to 1,435,832 and 3,132,464 is: 6,833,898.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,832 : 3,132,464 = 3,132,464 : x
  2. Step 2: Convert to fraction form
    1,435,832/3,132,464 = 3,132,464/x
  3. Step 3: Cross multiply
    1,435,832x = 3,132,464 × 3,132,464
  4. Step 4: Simplify right side
    1,435,832x = 9,812,330,711,296
  5. Step 5: Solve for x
    x = 9,812,330,711,296/1,435,832
  6. Step 6: Final answer
    x = 6,833,898.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.