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Finding the Third Proportional to 1,165,208 and 1,574,286

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Solution

The third proportional to 1,165,208 and 1,574,286 is: 2,126,981.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,208 : 1,574,286 = 1,574,286 : x
  2. Step 2: Convert to fraction form
    1,165,208/1,574,286 = 1,574,286/x
  3. Step 3: Cross multiply
    1,165,208x = 1,574,286 × 1,574,286
  4. Step 4: Simplify right side
    1,165,208x = 2,478,376,409,796
  5. Step 5: Solve for x
    x = 2,478,376,409,796/1,165,208
  6. Step 6: Final answer
    x = 2,126,981.97

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.