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Finding the Third Proportional to 1,070,541 and 1,538,743

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Solution

The third proportional to 1,070,541 and 1,538,743 is: 2,211,713.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070,541 : 1,538,743 = 1,538,743 : x
  2. Step 2: Convert to fraction form
    1,070,541/1,538,743 = 1,538,743/x
  3. Step 3: Cross multiply
    1,070,541x = 1,538,743 × 1,538,743
  4. Step 4: Simplify right side
    1,070,541x = 2,367,730,020,049
  5. Step 5: Solve for x
    x = 2,367,730,020,049/1,070,541
  6. Step 6: Final answer
    x = 2,211,713.54

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.