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Finding the Third Proportional to 685,260 and 1,488,132

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Solution

The third proportional to 685,260 and 1,488,132 is: 3,231,673.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,260 : 1,488,132 = 1,488,132 : x
  2. Step 2: Convert to fraction form
    685,260/1,488,132 = 1,488,132/x
  3. Step 3: Cross multiply
    685,260x = 1,488,132 × 1,488,132
  4. Step 4: Simplify right side
    685,260x = 2,214,536,849,424
  5. Step 5: Solve for x
    x = 2,214,536,849,424/685,260
  6. Step 6: Final answer
    x = 3,231,673.89

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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.