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Finding the Third Proportional to 925,851 and 1,442,907

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Solution

The third proportional to 925,851 and 1,442,907 is: 2,248,721.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,851 : 1,442,907 = 1,442,907 : x
  2. Step 2: Convert to fraction form
    925,851/1,442,907 = 1,442,907/x
  3. Step 3: Cross multiply
    925,851x = 1,442,907 × 1,442,907
  4. Step 4: Simplify right side
    925,851x = 2,081,980,610,649
  5. Step 5: Solve for x
    x = 2,081,980,610,649/925,851
  6. Step 6: Final answer
    x = 2,248,721.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.