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Finding the Third Proportional to 709,888 and 1,540,182

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Solution

The third proportional to 709,888 and 1,540,182 is: 3,341,598.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,888 : 1,540,182 = 1,540,182 : x
  2. Step 2: Convert to fraction form
    709,888/1,540,182 = 1,540,182/x
  3. Step 3: Cross multiply
    709,888x = 1,540,182 × 1,540,182
  4. Step 4: Simplify right side
    709,888x = 2,372,160,593,124
  5. Step 5: Solve for x
    x = 2,372,160,593,124/709,888
  6. Step 6: Final answer
    x = 3,341,598.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.