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Finding the Third Proportional to 485,649 and 1,030,473

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Solution

The third proportional to 485,649 and 1,030,473 is: 2,186,506.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,649 : 1,030,473 = 1,030,473 : x
  2. Step 2: Convert to fraction form
    485,649/1,030,473 = 1,030,473/x
  3. Step 3: Cross multiply
    485,649x = 1,030,473 × 1,030,473
  4. Step 4: Simplify right side
    485,649x = 1,061,874,603,729
  5. Step 5: Solve for x
    x = 1,061,874,603,729/485,649
  6. Step 6: Final answer
    x = 2,186,506.31

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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.