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Finding the Third Proportional to 450,363 and 963,654

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Solution

The third proportional to 450,363 and 963,654 is: 2,061,956.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,363 : 963,654 = 963,654 : x
  2. Step 2: Convert to fraction form
    450,363/963,654 = 963,654/x
  3. Step 3: Cross multiply
    450,363x = 963,654 × 963,654
  4. Step 4: Simplify right side
    450,363x = 928,629,031,716
  5. Step 5: Solve for x
    x = 928,629,031,716/450,363
  6. Step 6: Final answer
    x = 2,061,956.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.