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Finding the Third Proportional to 742,313 and 1,589,599

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Solution

The third proportional to 742,313 and 1,589,599 is: 3,403,988.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,313 : 1,589,599 = 1,589,599 : x
  2. Step 2: Convert to fraction form
    742,313/1,589,599 = 1,589,599/x
  3. Step 3: Cross multiply
    742,313x = 1,589,599 × 1,589,599
  4. Step 4: Simplify right side
    742,313x = 2,526,824,980,801
  5. Step 5: Solve for x
    x = 2,526,824,980,801/742,313
  6. Step 6: Final answer
    x = 3,403,988.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.