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Finding the Third Proportional to 790,126 and 1,864,441

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Solution

The third proportional to 790,126 and 1,864,441 is: 4,399,475.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,126 : 1,864,441 = 1,864,441 : x
  2. Step 2: Convert to fraction form
    790,126/1,864,441 = 1,864,441/x
  3. Step 3: Cross multiply
    790,126x = 1,864,441 × 1,864,441
  4. Step 4: Simplify right side
    790,126x = 3,476,140,242,481
  5. Step 5: Solve for x
    x = 3,476,140,242,481/790,126
  6. Step 6: Final answer
    x = 4,399,475.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.