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Finding the Third Proportional to 935,982 and 1,507,329

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Solution

The third proportional to 935,982 and 1,507,329 is: 2,427,440.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,982 : 1,507,329 = 1,507,329 : x
  2. Step 2: Convert to fraction form
    935,982/1,507,329 = 1,507,329/x
  3. Step 3: Cross multiply
    935,982x = 1,507,329 × 1,507,329
  4. Step 4: Simplify right side
    935,982x = 2,272,040,714,241
  5. Step 5: Solve for x
    x = 2,272,040,714,241/935,982
  6. Step 6: Final answer
    x = 2,427,440.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.