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Finding the Third Proportional to 990,412 and 2,170,681

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Solution

The third proportional to 990,412 and 2,170,681 is: 4,757,470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    990,412 : 2,170,681 = 2,170,681 : x
  2. Step 2: Convert to fraction form
    990,412/2,170,681 = 2,170,681/x
  3. Step 3: Cross multiply
    990,412x = 2,170,681 × 2,170,681
  4. Step 4: Simplify right side
    990,412x = 4,711,856,003,761
  5. Step 5: Solve for x
    x = 4,711,856,003,761/990,412
  6. Step 6: Final answer
    x = 4,757,470.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.