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Finding the Third Proportional to 503,701 and 1,088,593

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Solution

The third proportional to 503,701 and 1,088,593 is: 2,352,655.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,701 : 1,088,593 = 1,088,593 : x
  2. Step 2: Convert to fraction form
    503,701/1,088,593 = 1,088,593/x
  3. Step 3: Cross multiply
    503,701x = 1,088,593 × 1,088,593
  4. Step 4: Simplify right side
    503,701x = 1,185,034,719,649
  5. Step 5: Solve for x
    x = 1,185,034,719,649/503,701
  6. Step 6: Final answer
    x = 2,352,655.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.