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Finding the Third Proportional to 757,023 and 1,599,342

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Solution

The third proportional to 757,023 and 1,599,342 is: 3,378,886.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,023 : 1,599,342 = 1,599,342 : x
  2. Step 2: Convert to fraction form
    757,023/1,599,342 = 1,599,342/x
  3. Step 3: Cross multiply
    757,023x = 1,599,342 × 1,599,342
  4. Step 4: Simplify right side
    757,023x = 2,557,894,832,964
  5. Step 5: Solve for x
    x = 2,557,894,832,964/757,023
  6. Step 6: Final answer
    x = 3,378,886.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.