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Finding the Third Proportional to 696,876.75 and 1,022,284.13

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Solution

The third proportional to 696,876.75 and 1,022,284.13 is: 1,499,640.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,876.75 : 1,022,284.13 = 1,022,284.13 : x
  2. Step 2: Convert to fraction form
    696,876.75/1,022,284.13 = 1,022,284.13/x
  3. Step 3: Cross multiply
    696,876.75x = 1,022,284.13 × 1,022,284.13
  4. Step 4: Simplify right side
    696,876.75x = 1,045,064,832,227.02
  5. Step 5: Solve for x
    x = 1,045,064,832,227.02/696,876.75
  6. Step 6: Final answer
    x = 1,499,640.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.