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Finding the Third Proportional to 736,340 and 1,588,864

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Solution

The third proportional to 736,340 and 1,588,864 is: 3,428,428.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,340 : 1,588,864 = 1,588,864 : x
  2. Step 2: Convert to fraction form
    736,340/1,588,864 = 1,588,864/x
  3. Step 3: Cross multiply
    736,340x = 1,588,864 × 1,588,864
  4. Step 4: Simplify right side
    736,340x = 2,524,488,810,496
  5. Step 5: Solve for x
    x = 2,524,488,810,496/736,340
  6. Step 6: Final answer
    x = 3,428,428.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.