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Finding the Third Proportional to 540,846 and 783,381

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Solution

The third proportional to 540,846 and 783,381 is: 1,134,677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,846 : 783,381 = 783,381 : x
  2. Step 2: Convert to fraction form
    540,846/783,381 = 783,381/x
  3. Step 3: Cross multiply
    540,846x = 783,381 × 783,381
  4. Step 4: Simplify right side
    540,846x = 613,685,791,161
  5. Step 5: Solve for x
    x = 613,685,791,161/540,846
  6. Step 6: Final answer
    x = 1,134,677.51

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.