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Finding the Third Proportional to 761,613 and 1,654,334

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Solution

The third proportional to 761,613 and 1,654,334 is: 3,593,453.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,613 : 1,654,334 = 1,654,334 : x
  2. Step 2: Convert to fraction form
    761,613/1,654,334 = 1,654,334/x
  3. Step 3: Cross multiply
    761,613x = 1,654,334 × 1,654,334
  4. Step 4: Simplify right side
    761,613x = 2,736,820,983,556
  5. Step 5: Solve for x
    x = 2,736,820,983,556/761,613
  6. Step 6: Final answer
    x = 3,593,453.61

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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.