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Finding the Third Proportional to 868,284 and 1,358,019

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Solution

The third proportional to 868,284 and 1,358,019 is: 2,123,977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,284 : 1,358,019 = 1,358,019 : x
  2. Step 2: Convert to fraction form
    868,284/1,358,019 = 1,358,019/x
  3. Step 3: Cross multiply
    868,284x = 1,358,019 × 1,358,019
  4. Step 4: Simplify right side
    868,284x = 1,844,215,604,361
  5. Step 5: Solve for x
    x = 1,844,215,604,361/868,284
  6. Step 6: Final answer
    x = 2,123,977.41

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.