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Finding the Third Proportional to 502,071.05 and 1,103,774.48

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Solution

The third proportional to 502,071.05 and 1,103,774.48 is: 2,426,585.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,071.05 : 1,103,774.48 = 1,103,774.48 : x
  2. Step 2: Convert to fraction form
    502,071.05/1,103,774.48 = 1,103,774.48/x
  3. Step 3: Cross multiply
    502,071.05x = 1,103,774.48 × 1,103,774.48
  4. Step 4: Simplify right side
    502,071.05x = 1,218,318,112,357.30
  5. Step 5: Solve for x
    x = 1,218,318,112,357.30/502,071.05
  6. Step 6: Final answer
    x = 2,426,585.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.