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Finding the Third Proportional to 854,205.75 and 1,201,547.25

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Solution

The third proportional to 854,205.75 and 1,201,547.25 is: 1,690,126.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,205.75 : 1,201,547.25 = 1,201,547.25 : x
  2. Step 2: Convert to fraction form
    854,205.75/1,201,547.25 = 1,201,547.25/x
  3. Step 3: Cross multiply
    854,205.75x = 1,201,547.25 × 1,201,547.25
  4. Step 4: Simplify right side
    854,205.75x = 1,443,715,793,982.56
  5. Step 5: Solve for x
    x = 1,443,715,793,982.56/854,205.75
  6. Step 6: Final answer
    x = 1,690,126.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.