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Finding the Third Proportional to 454,068 and 963,486

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Solution

The third proportional to 454,068 and 963,486 is: 2,044,419.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,068 : 963,486 = 963,486 : x
  2. Step 2: Convert to fraction form
    454,068/963,486 = 963,486/x
  3. Step 3: Cross multiply
    454,068x = 963,486 × 963,486
  4. Step 4: Simplify right side
    454,068x = 928,305,272,196
  5. Step 5: Solve for x
    x = 928,305,272,196/454,068
  6. Step 6: Final answer
    x = 2,044,419.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.