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Finding the Third Proportional to 1,435,834 and 3,132,468

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Solution

The third proportional to 1,435,834 and 3,132,468 is: 6,833,906.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,834 : 3,132,468 = 3,132,468 : x
  2. Step 2: Convert to fraction form
    1,435,834/3,132,468 = 3,132,468/x
  3. Step 3: Cross multiply
    1,435,834x = 3,132,468 × 3,132,468
  4. Step 4: Simplify right side
    1,435,834x = 9,812,355,771,024
  5. Step 5: Solve for x
    x = 9,812,355,771,024/1,435,834
  6. Step 6: Final answer
    x = 6,833,906.82

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