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Finding the Third Proportional to 761,620 and 1,654,348

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Solution

The third proportional to 761,620 and 1,654,348 is: 3,593,481.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,620 : 1,654,348 = 1,654,348 : x
  2. Step 2: Convert to fraction form
    761,620/1,654,348 = 1,654,348/x
  3. Step 3: Cross multiply
    761,620x = 1,654,348 × 1,654,348
  4. Step 4: Simplify right side
    761,620x = 2,736,867,305,104
  5. Step 5: Solve for x
    x = 2,736,867,305,104/761,620
  6. Step 6: Final answer
    x = 3,593,481.40

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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.