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Finding the Third Proportional to 810,031 and 1,246,799

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Solution

The third proportional to 810,031 and 1,246,799 is: 1,919,071.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,031 : 1,246,799 = 1,246,799 : x
  2. Step 2: Convert to fraction form
    810,031/1,246,799 = 1,246,799/x
  3. Step 3: Cross multiply
    810,031x = 1,246,799 × 1,246,799
  4. Step 4: Simplify right side
    810,031x = 1,554,507,746,401
  5. Step 5: Solve for x
    x = 1,554,507,746,401/810,031
  6. Step 6: Final answer
    x = 1,919,071.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.