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Finding the Third Proportional to 1,306,742.11 and 2,802,649.58

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Solution

The third proportional to 1,306,742.11 and 2,802,649.58 is: 6,011,013.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,742.11 : 2,802,649.58 = 2,802,649.58 : x
  2. Step 2: Convert to fraction form
    1,306,742.11/2,802,649.58 = 2,802,649.58/x
  3. Step 3: Cross multiply
    1,306,742.11x = 2,802,649.58 × 2,802,649.58
  4. Step 4: Simplify right side
    1,306,742.11x = 7,854,844,650,921.29
  5. Step 5: Solve for x
    x = 7,854,844,650,921.29/1,306,742.11
  6. Step 6: Final answer
    x = 6,011,013.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.