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Finding the Third Proportional to 452,974 and 987,340

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Solution

The third proportional to 452,974 and 987,340 is: 2,152,088.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,974 : 987,340 = 987,340 : x
  2. Step 2: Convert to fraction form
    452,974/987,340 = 987,340/x
  3. Step 3: Cross multiply
    452,974x = 987,340 × 987,340
  4. Step 4: Simplify right side
    452,974x = 974,840,275,600
  5. Step 5: Solve for x
    x = 974,840,275,600/452,974
  6. Step 6: Final answer
    x = 2,152,088.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.