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Finding the Third Proportional to 1,050,765 and 1,664,115

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Solution

The third proportional to 1,050,765 and 1,664,115 is: 2,635,488.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050,765 : 1,664,115 = 1,664,115 : x
  2. Step 2: Convert to fraction form
    1,050,765/1,664,115 = 1,664,115/x
  3. Step 3: Cross multiply
    1,050,765x = 1,664,115 × 1,664,115
  4. Step 4: Simplify right side
    1,050,765x = 2,769,278,733,225
  5. Step 5: Solve for x
    x = 2,769,278,733,225/1,050,765
  6. Step 6: Final answer
    x = 2,635,488.18

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.