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Finding the Third Proportional to 727,358 and 1,590,147

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Solution

The third proportional to 727,358 and 1,590,147 is: 3,476,372.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,358 : 1,590,147 = 1,590,147 : x
  2. Step 2: Convert to fraction form
    727,358/1,590,147 = 1,590,147/x
  3. Step 3: Cross multiply
    727,358x = 1,590,147 × 1,590,147
  4. Step 4: Simplify right side
    727,358x = 2,528,567,481,609
  5. Step 5: Solve for x
    x = 2,528,567,481,609/727,358
  6. Step 6: Final answer
    x = 3,476,372.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.