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Finding the Third Proportional to 642,337 and 1,383,332

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Solution

The third proportional to 642,337 and 1,383,332 is: 2,979,133.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,337 : 1,383,332 = 1,383,332 : x
  2. Step 2: Convert to fraction form
    642,337/1,383,332 = 1,383,332/x
  3. Step 3: Cross multiply
    642,337x = 1,383,332 × 1,383,332
  4. Step 4: Simplify right side
    642,337x = 1,913,607,422,224
  5. Step 5: Solve for x
    x = 1,913,607,422,224/642,337
  6. Step 6: Final answer
    x = 2,979,133.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.