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Finding the Third Proportional to 2,912,577 and 6,385,026

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Solution

The third proportional to 2,912,577 and 6,385,026 is: 13,997,417.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912,577 : 6,385,026 = 6,385,026 : x
  2. Step 2: Convert to fraction form
    2,912,577/6,385,026 = 6,385,026/x
  3. Step 3: Cross multiply
    2,912,577x = 6,385,026 × 6,385,026
  4. Step 4: Simplify right side
    2,912,577x = 40,768,557,020,676
  5. Step 5: Solve for x
    x = 40,768,557,020,676/2,912,577
  6. Step 6: Final answer
    x = 13,997,417.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.