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Finding the Third Proportional to 485,645.50 and 1,030,466

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Solution

The third proportional to 485,645.50 and 1,030,466 is: 2,186,492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,645.50 : 1,030,466 = 1,030,466 : x
  2. Step 2: Convert to fraction form
    485,645.50/1,030,466 = 1,030,466/x
  3. Step 3: Cross multiply
    485,645.50x = 1,030,466 × 1,030,466
  4. Step 4: Simplify right side
    485,645.50x = 1,061,860,177,156
  5. Step 5: Solve for x
    x = 1,061,860,177,156/485,645.50
  6. Step 6: Final answer
    x = 2,186,492.36

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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.