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Finding the Third Proportional to 452,642 and 992,332

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Solution

The third proportional to 452,642 and 992,332 is: 2,175,500.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,642 : 992,332 = 992,332 : x
  2. Step 2: Convert to fraction form
    452,642/992,332 = 992,332/x
  3. Step 3: Cross multiply
    452,642x = 992,332 × 992,332
  4. Step 4: Simplify right side
    452,642x = 984,722,798,224
  5. Step 5: Solve for x
    x = 984,722,798,224/452,642
  6. Step 6: Final answer
    x = 2,175,500.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.