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Finding the Third Proportional to 4,542,428 and 6,982,029

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Solution

The third proportional to 4,542,428 and 6,982,029 is: 10,731,866.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542,428 : 6,982,029 = 6,982,029 : x
  2. Step 2: Convert to fraction form
    4,542,428/6,982,029 = 6,982,029/x
  3. Step 3: Cross multiply
    4,542,428x = 6,982,029 × 6,982,029
  4. Step 4: Simplify right side
    4,542,428x = 48,748,728,956,841
  5. Step 5: Solve for x
    x = 48,748,728,956,841/4,542,428
  6. Step 6: Final answer
    x = 10,731,866.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.