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Finding the Third Proportional to 957,497 and 1,417,758

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Solution

The third proportional to 957,497 and 1,417,758 is: 2,099,262.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,497 : 1,417,758 = 1,417,758 : x
  2. Step 2: Convert to fraction form
    957,497/1,417,758 = 1,417,758/x
  3. Step 3: Cross multiply
    957,497x = 1,417,758 × 1,417,758
  4. Step 4: Simplify right side
    957,497x = 2,010,037,746,564
  5. Step 5: Solve for x
    x = 2,010,037,746,564/957,497
  6. Step 6: Final answer
    x = 2,099,262.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.