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Finding the Third Proportional to 977,022 and 1,512,675

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Solution

The third proportional to 977,022 and 1,512,675 is: 2,342,000.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,022 : 1,512,675 = 1,512,675 : x
  2. Step 2: Convert to fraction form
    977,022/1,512,675 = 1,512,675/x
  3. Step 3: Cross multiply
    977,022x = 1,512,675 × 1,512,675
  4. Step 4: Simplify right side
    977,022x = 2,288,185,655,625
  5. Step 5: Solve for x
    x = 2,288,185,655,625/977,022
  6. Step 6: Final answer
    x = 2,342,000.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.