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Finding the Third Proportional to 2,982,431.75 and 4,730,142

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Solution

The third proportional to 2,982,431.75 and 4,730,142 is: 7,502,013.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982,431.75 : 4,730,142 = 4,730,142 : x
  2. Step 2: Convert to fraction form
    2,982,431.75/4,730,142 = 4,730,142/x
  3. Step 3: Cross multiply
    2,982,431.75x = 4,730,142 × 4,730,142
  4. Step 4: Simplify right side
    2,982,431.75x = 22,374,243,340,164
  5. Step 5: Solve for x
    x = 22,374,243,340,164/2,982,431.75
  6. Step 6: Final answer
    x = 7,502,013.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.