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Finding the Third Proportional to 854,547.75 and 1,322,760.75

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Solution

The third proportional to 854,547.75 and 1,322,760.75 is: 2,047,511.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,547.75 : 1,322,760.75 = 1,322,760.75 : x
  2. Step 2: Convert to fraction form
    854,547.75/1,322,760.75 = 1,322,760.75/x
  3. Step 3: Cross multiply
    854,547.75x = 1,322,760.75 × 1,322,760.75
  4. Step 4: Simplify right side
    854,547.75x = 1,749,696,001,740.56
  5. Step 5: Solve for x
    x = 1,749,696,001,740.56/854,547.75
  6. Step 6: Final answer
    x = 2,047,511.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.