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Finding the Third Proportional to 454,060 and 963,466

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Solution

The third proportional to 454,060 and 963,466 is: 2,044,370.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,060 : 963,466 = 963,466 : x
  2. Step 2: Convert to fraction form
    454,060/963,466 = 963,466/x
  3. Step 3: Cross multiply
    454,060x = 963,466 × 963,466
  4. Step 4: Simplify right side
    454,060x = 928,266,733,156
  5. Step 5: Solve for x
    x = 928,266,733,156/454,060
  6. Step 6: Final answer
    x = 2,044,370.20

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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.