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Finding the Third Proportional to 454,068 and 963,484

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Solution

The third proportional to 454,068 and 963,484 is: 2,044,410.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,068 : 963,484 = 963,484 : x
  2. Step 2: Convert to fraction form
    454,068/963,484 = 963,484/x
  3. Step 3: Cross multiply
    454,068x = 963,484 × 963,484
  4. Step 4: Simplify right side
    454,068x = 928,301,418,256
  5. Step 5: Solve for x
    x = 928,301,418,256/454,068
  6. Step 6: Final answer
    x = 2,044,410.57

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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.