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Finding the Third Proportional to 485,642 and 1,030,459

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Solution

The third proportional to 485,642 and 1,030,459 is: 2,186,478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,642 : 1,030,459 = 1,030,459 : x
  2. Step 2: Convert to fraction form
    485,642/1,030,459 = 1,030,459/x
  3. Step 3: Cross multiply
    485,642x = 1,030,459 × 1,030,459
  4. Step 4: Simplify right side
    485,642x = 1,061,845,750,681
  5. Step 5: Solve for x
    x = 1,061,845,750,681/485,642
  6. Step 6: Final answer
    x = 2,186,478.42

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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.