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Finding the Third Proportional to 488,466 and 1,029,412

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Solution

The third proportional to 488,466 and 1,029,412 is: 2,169,422.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,466 : 1,029,412 = 1,029,412 : x
  2. Step 2: Convert to fraction form
    488,466/1,029,412 = 1,029,412/x
  3. Step 3: Cross multiply
    488,466x = 1,029,412 × 1,029,412
  4. Step 4: Simplify right side
    488,466x = 1,059,689,065,744
  5. Step 5: Solve for x
    x = 1,059,689,065,744/488,466
  6. Step 6: Final answer
    x = 2,169,422.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.