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Finding the Third Proportional to 596,701.69 and 1,287,922.78

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Solution

The third proportional to 596,701.69 and 1,287,922.78 is: 2,779,856.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,701.69 : 1,287,922.78 = 1,287,922.78 : x
  2. Step 2: Convert to fraction form
    596,701.69/1,287,922.78 = 1,287,922.78/x
  3. Step 3: Cross multiply
    596,701.69x = 1,287,922.78 × 1,287,922.78
  4. Step 4: Simplify right side
    596,701.69x = 1,658,745,090,462.74
  5. Step 5: Solve for x
    x = 1,658,745,090,462.74/596,701.69
  6. Step 6: Final answer
    x = 2,779,856.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.