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Finding the Third Proportional to 872,376 and 1,878,384

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Solution

The third proportional to 872,376 and 1,878,384 is: 4,044,501.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,376 : 1,878,384 = 1,878,384 : x
  2. Step 2: Convert to fraction form
    872,376/1,878,384 = 1,878,384/x
  3. Step 3: Cross multiply
    872,376x = 1,878,384 × 1,878,384
  4. Step 4: Simplify right side
    872,376x = 3,528,326,451,456
  5. Step 5: Solve for x
    x = 3,528,326,451,456/872,376
  6. Step 6: Final answer
    x = 4,044,501.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.