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Finding the Third Proportional to 1,224,046.69 and 2,547,440.44

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Solution

The third proportional to 1,224,046.69 and 2,547,440.44 is: 5,301,638.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224,046.69 : 2,547,440.44 = 2,547,440.44 : x
  2. Step 2: Convert to fraction form
    1,224,046.69/2,547,440.44 = 2,547,440.44/x
  3. Step 3: Cross multiply
    1,224,046.69x = 2,547,440.44 × 2,547,440.44
  4. Step 4: Simplify right side
    1,224,046.69x = 6,489,452,782,610.19
  5. Step 5: Solve for x
    x = 6,489,452,782,610.19/1,224,046.69
  6. Step 6: Final answer
    x = 5,301,638.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.