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Finding the Third Proportional to 976,205 and 2,102,429

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Solution

The third proportional to 976,205 and 2,102,429 is: 4,527,950.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,205 : 2,102,429 = 2,102,429 : x
  2. Step 2: Convert to fraction form
    976,205/2,102,429 = 2,102,429/x
  3. Step 3: Cross multiply
    976,205x = 2,102,429 × 2,102,429
  4. Step 4: Simplify right side
    976,205x = 4,420,207,700,041
  5. Step 5: Solve for x
    x = 4,420,207,700,041/976,205
  6. Step 6: Final answer
    x = 4,527,950.28

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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.