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Finding the Third Proportional to 540,864 and 841,860

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Solution

The third proportional to 540,864 and 841,860 is: 1,310,363.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,864 : 841,860 = 841,860 : x
  2. Step 2: Convert to fraction form
    540,864/841,860 = 841,860/x
  3. Step 3: Cross multiply
    540,864x = 841,860 × 841,860
  4. Step 4: Simplify right side
    540,864x = 708,728,259,600
  5. Step 5: Solve for x
    x = 708,728,259,600/540,864
  6. Step 6: Final answer
    x = 1,310,363.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.