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Finding the Third Proportional to 2,877,774 and 4,428,549

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Solution

The third proportional to 2,877,774 and 4,428,549 is: 6,815,005.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877,774 : 4,428,549 = 4,428,549 : x
  2. Step 2: Convert to fraction form
    2,877,774/4,428,549 = 4,428,549/x
  3. Step 3: Cross multiply
    2,877,774x = 4,428,549 × 4,428,549
  4. Step 4: Simplify right side
    2,877,774x = 19,612,046,245,401
  5. Step 5: Solve for x
    x = 19,612,046,245,401/2,877,774
  6. Step 6: Final answer
    x = 6,815,005.71

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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.