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Finding the Third Proportional to 935,922 and 1,507,251

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Solution

The third proportional to 935,922 and 1,507,251 is: 2,427,344.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,922 : 1,507,251 = 1,507,251 : x
  2. Step 2: Convert to fraction form
    935,922/1,507,251 = 1,507,251/x
  3. Step 3: Cross multiply
    935,922x = 1,507,251 × 1,507,251
  4. Step 4: Simplify right side
    935,922x = 2,271,805,577,001
  5. Step 5: Solve for x
    x = 2,271,805,577,001/935,922
  6. Step 6: Final answer
    x = 2,427,344.99

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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.