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Finding the Third Proportional to 3,569,582 and 5,438,026

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Solution

The third proportional to 3,569,582 and 5,438,026 is: 8,284,478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569,582 : 5,438,026 = 5,438,026 : x
  2. Step 2: Convert to fraction form
    3,569,582/5,438,026 = 5,438,026/x
  3. Step 3: Cross multiply
    3,569,582x = 5,438,026 × 5,438,026
  4. Step 4: Simplify right side
    3,569,582x = 29,572,126,776,676
  5. Step 5: Solve for x
    x = 29,572,126,776,676/3,569,582
  6. Step 6: Final answer
    x = 8,284,478.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.