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Finding the Third Proportional to 502,956 and 1,091,630.25

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Solution

The third proportional to 502,956 and 1,091,630.25 is: 2,369,305.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,956 : 1,091,630.25 = 1,091,630.25 : x
  2. Step 2: Convert to fraction form
    502,956/1,091,630.25 = 1,091,630.25/x
  3. Step 3: Cross multiply
    502,956x = 1,091,630.25 × 1,091,630.25
  4. Step 4: Simplify right side
    502,956x = 1,191,656,602,715.06
  5. Step 5: Solve for x
    x = 1,191,656,602,715.06/502,956
  6. Step 6: Final answer
    x = 2,369,305.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.