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Finding the Third Proportional to 974,380 and 2,125,822

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Solution

The third proportional to 974,380 and 2,125,822 is: 4,637,943.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,380 : 2,125,822 = 2,125,822 : x
  2. Step 2: Convert to fraction form
    974,380/2,125,822 = 2,125,822/x
  3. Step 3: Cross multiply
    974,380x = 2,125,822 × 2,125,822
  4. Step 4: Simplify right side
    974,380x = 4,519,119,175,684
  5. Step 5: Solve for x
    x = 4,519,119,175,684/974,380
  6. Step 6: Final answer
    x = 4,637,943.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.