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Finding the Third Proportional to 488,637 and 1,060,830

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Solution

The third proportional to 488,637 and 1,060,830 is: 2,303,059.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,637 : 1,060,830 = 1,060,830 : x
  2. Step 2: Convert to fraction form
    488,637/1,060,830 = 1,060,830/x
  3. Step 3: Cross multiply
    488,637x = 1,060,830 × 1,060,830
  4. Step 4: Simplify right side
    488,637x = 1,125,360,288,900
  5. Step 5: Solve for x
    x = 1,125,360,288,900/488,637
  6. Step 6: Final answer
    x = 2,303,059.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.