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Finding the Third Proportional to 929,031 and 1,376,277

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Solution

The third proportional to 929,031 and 1,376,277 is: 2,038,832.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,031 : 1,376,277 = 1,376,277 : x
  2. Step 2: Convert to fraction form
    929,031/1,376,277 = 1,376,277/x
  3. Step 3: Cross multiply
    929,031x = 1,376,277 × 1,376,277
  4. Step 4: Simplify right side
    929,031x = 1,894,138,380,729
  5. Step 5: Solve for x
    x = 1,894,138,380,729/929,031
  6. Step 6: Final answer
    x = 2,038,832.27

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.