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Finding the Third Proportional to 643,332 and 1,372,160

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Solution

The third proportional to 643,332 and 1,372,160 is: 2,926,674.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,332 : 1,372,160 = 1,372,160 : x
  2. Step 2: Convert to fraction form
    643,332/1,372,160 = 1,372,160/x
  3. Step 3: Cross multiply
    643,332x = 1,372,160 × 1,372,160
  4. Step 4: Simplify right side
    643,332x = 1,882,823,065,600
  5. Step 5: Solve for x
    x = 1,882,823,065,600/643,332
  6. Step 6: Final answer
    x = 2,926,674.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.