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Finding the Third Proportional to 713,899 and 1,558,023

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Solution

The third proportional to 713,899 and 1,558,023 is: 3,400,250.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,899 : 1,558,023 = 1,558,023 : x
  2. Step 2: Convert to fraction form
    713,899/1,558,023 = 1,558,023/x
  3. Step 3: Cross multiply
    713,899x = 1,558,023 × 1,558,023
  4. Step 4: Simplify right side
    713,899x = 2,427,435,668,529
  5. Step 5: Solve for x
    x = 2,427,435,668,529/713,899
  6. Step 6: Final answer
    x = 3,400,250.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.