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Finding the Third Proportional to 496,841.98 and 1,088,312.28

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Solution

The third proportional to 496,841.98 and 1,088,312.28 is: 2,383,904.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,841.98 : 1,088,312.28 = 1,088,312.28 : x
  2. Step 2: Convert to fraction form
    496,841.98/1,088,312.28 = 1,088,312.28/x
  3. Step 3: Cross multiply
    496,841.98x = 1,088,312.28 × 1,088,312.28
  4. Step 4: Simplify right side
    496,841.98x = 1,184,423,623,645.27
  5. Step 5: Solve for x
    x = 1,184,423,623,645.27/496,841.98
  6. Step 6: Final answer
    x = 2,383,904.10

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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.