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Finding the Third Proportional to 2,132,871.75 and 4,564,679.06

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Solution

The third proportional to 2,132,871.75 and 4,564,679.06 is: 9,769,126.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132,871.75 : 4,564,679.06 = 4,564,679.06 : x
  2. Step 2: Convert to fraction form
    2,132,871.75/4,564,679.06 = 4,564,679.06/x
  3. Step 3: Cross multiply
    2,132,871.75x = 4,564,679.06 × 4,564,679.06
  4. Step 4: Simplify right side
    2,132,871.75x = 20,836,294,943,625.88
  5. Step 5: Solve for x
    x = 20,836,294,943,625.88/2,132,871.75
  6. Step 6: Final answer
    x = 9,769,126.97

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Why These Related Problems?

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