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Finding the Third Proportional to 484,708 and 1,031,624

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Solution

The third proportional to 484,708 and 1,031,624 is: 2,195,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,708 : 1,031,624 = 1,031,624 : x
  2. Step 2: Convert to fraction form
    484,708/1,031,624 = 1,031,624/x
  3. Step 3: Cross multiply
    484,708x = 1,031,624 × 1,031,624
  4. Step 4: Simplify right side
    484,708x = 1,064,248,077,376
  5. Step 5: Solve for x
    x = 1,064,248,077,376/484,708
  6. Step 6: Final answer
    x = 2,195,647.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.