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Finding the Third Proportional to 947,920 and 2,053,304

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Solution

The third proportional to 947,920 and 2,053,304 is: 4,447,693.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,920 : 2,053,304 = 2,053,304 : x
  2. Step 2: Convert to fraction form
    947,920/2,053,304 = 2,053,304/x
  3. Step 3: Cross multiply
    947,920x = 2,053,304 × 2,053,304
  4. Step 4: Simplify right side
    947,920x = 4,216,057,316,416
  5. Step 5: Solve for x
    x = 4,216,057,316,416/947,920
  6. Step 6: Final answer
    x = 4,447,693.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.