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Finding the Third Proportional to 499,818 and 1,088,376

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Solution

The third proportional to 499,818 and 1,088,376 is: 2,369,987.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,818 : 1,088,376 = 1,088,376 : x
  2. Step 2: Convert to fraction form
    499,818/1,088,376 = 1,088,376/x
  3. Step 3: Cross multiply
    499,818x = 1,088,376 × 1,088,376
  4. Step 4: Simplify right side
    499,818x = 1,184,562,317,376
  5. Step 5: Solve for x
    x = 1,184,562,317,376/499,818
  6. Step 6: Final answer
    x = 2,369,987.31

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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.