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Finding the Third Proportional to 976,290 and 2,102,442

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Solution

The third proportional to 976,290 and 2,102,442 is: 4,527,612.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,290 : 2,102,442 = 2,102,442 : x
  2. Step 2: Convert to fraction form
    976,290/2,102,442 = 2,102,442/x
  3. Step 3: Cross multiply
    976,290x = 2,102,442 × 2,102,442
  4. Step 4: Simplify right side
    976,290x = 4,420,262,363,364
  5. Step 5: Solve for x
    x = 4,420,262,363,364/976,290
  6. Step 6: Final answer
    x = 4,527,612.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.