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Finding the Third Proportional to 2,273,219 and 4,974,541

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Solution

The third proportional to 2,273,219 and 4,974,541 is: 10,885,910.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273,219 : 4,974,541 = 4,974,541 : x
  2. Step 2: Convert to fraction form
    2,273,219/4,974,541 = 4,974,541/x
  3. Step 3: Cross multiply
    2,273,219x = 4,974,541 × 4,974,541
  4. Step 4: Simplify right side
    2,273,219x = 24,746,058,160,681
  5. Step 5: Solve for x
    x = 24,746,058,160,681/2,273,219
  6. Step 6: Final answer
    x = 10,885,910.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.