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Finding the Third Proportional to 810,564 and 1,876,479

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Solution

The third proportional to 810,564 and 1,876,479 is: 4,344,102.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,564 : 1,876,479 = 1,876,479 : x
  2. Step 2: Convert to fraction form
    810,564/1,876,479 = 1,876,479/x
  3. Step 3: Cross multiply
    810,564x = 1,876,479 × 1,876,479
  4. Step 4: Simplify right side
    810,564x = 3,521,173,437,441
  5. Step 5: Solve for x
    x = 3,521,173,437,441/810,564
  6. Step 6: Final answer
    x = 4,344,102.92

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.