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Finding the Third Proportional to 499,821 and 1,088,382

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Solution

The third proportional to 499,821 and 1,088,382 is: 2,369,999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,821 : 1,088,382 = 1,088,382 : x
  2. Step 2: Convert to fraction form
    499,821/1,088,382 = 1,088,382/x
  3. Step 3: Cross multiply
    499,821x = 1,088,382 × 1,088,382
  4. Step 4: Simplify right side
    499,821x = 1,184,575,377,924
  5. Step 5: Solve for x
    x = 1,184,575,377,924/499,821
  6. Step 6: Final answer
    x = 2,369,999.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.