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Finding the Third Proportional to 685,262 and 1,488,136

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Solution

The third proportional to 685,262 and 1,488,136 is: 3,231,681.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,262 : 1,488,136 = 1,488,136 : x
  2. Step 2: Convert to fraction form
    685,262/1,488,136 = 1,488,136/x
  3. Step 3: Cross multiply
    685,262x = 1,488,136 × 1,488,136
  4. Step 4: Simplify right side
    685,262x = 2,214,548,754,496
  5. Step 5: Solve for x
    x = 2,214,548,754,496/685,262
  6. Step 6: Final answer
    x = 3,231,681.83

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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.