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Finding the Third Proportional to 590,770 and 1,265,603

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Solution

The third proportional to 590,770 and 1,265,603 is: 2,711,293.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,770 : 1,265,603 = 1,265,603 : x
  2. Step 2: Convert to fraction form
    590,770/1,265,603 = 1,265,603/x
  3. Step 3: Cross multiply
    590,770x = 1,265,603 × 1,265,603
  4. Step 4: Simplify right side
    590,770x = 1,601,750,953,609
  5. Step 5: Solve for x
    x = 1,601,750,953,609/590,770
  6. Step 6: Final answer
    x = 2,711,293.66

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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.