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Finding the Third Proportional to 1,108,463.06 and 1,683,512.44

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Solution

The third proportional to 1,108,463.06 and 1,683,512.44 is: 2,556,886.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108,463.06 : 1,683,512.44 = 1,683,512.44 : x
  2. Step 2: Convert to fraction form
    1,108,463.06/1,683,512.44 = 1,683,512.44/x
  3. Step 3: Cross multiply
    1,108,463.06x = 1,683,512.44 × 1,683,512.44
  4. Step 4: Simplify right side
    1,108,463.06x = 2,834,214,127,217.19
  5. Step 5: Solve for x
    x = 2,834,214,127,217.19/1,108,463.06
  6. Step 6: Final answer
    x = 2,556,886.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.