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Finding the Third Proportional to 1,878,947.30 and 4,023,614.88

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Solution

The third proportional to 1,878,947.30 and 4,023,614.88 is: 8,616,248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878,947.30 : 4,023,614.88 = 4,023,614.88 : x
  2. Step 2: Convert to fraction form
    1,878,947.30/4,023,614.88 = 4,023,614.88/x
  3. Step 3: Cross multiply
    1,878,947.30x = 4,023,614.88 × 4,023,614.88
  4. Step 4: Simplify right side
    1,878,947.30x = 16,189,476,725,190.25
  5. Step 5: Solve for x
    x = 16,189,476,725,190.25/1,878,947.30
  6. Step 6: Final answer
    x = 8,616,248.45

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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.