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Finding the Third Proportional to 454,016 and 977,312

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Solution

The third proportional to 454,016 and 977,312 is: 2,103,755.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,016 : 977,312 = 977,312 : x
  2. Step 2: Convert to fraction form
    454,016/977,312 = 977,312/x
  3. Step 3: Cross multiply
    454,016x = 977,312 × 977,312
  4. Step 4: Simplify right side
    454,016x = 955,138,745,344
  5. Step 5: Solve for x
    x = 955,138,745,344/454,016
  6. Step 6: Final answer
    x = 2,103,755.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.