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Finding the Third Proportional to 401,034 and 891,730

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Solution

The third proportional to 401,034 and 891,730 is: 1,982,830.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,034 : 891,730 = 891,730 : x
  2. Step 2: Convert to fraction form
    401,034/891,730 = 891,730/x
  3. Step 3: Cross multiply
    401,034x = 891,730 × 891,730
  4. Step 4: Simplify right side
    401,034x = 795,182,392,900
  5. Step 5: Solve for x
    x = 795,182,392,900/401,034
  6. Step 6: Final answer
    x = 1,982,830.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.