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Finding the Third Proportional to 1,108,444.50 and 1,683,485.02

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Solution

The third proportional to 1,108,444.50 and 1,683,485.02 is: 2,556,845.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108,444.50 : 1,683,485.02 = 1,683,485.02 : x
  2. Step 2: Convert to fraction form
    1,108,444.50/1,683,485.02 = 1,683,485.02/x
  3. Step 3: Cross multiply
    1,108,444.50x = 1,683,485.02 × 1,683,485.02
  4. Step 4: Simplify right side
    1,108,444.50x = 2,834,121,797,833.91
  5. Step 5: Solve for x
    x = 2,834,121,797,833.91/1,108,444.50
  6. Step 6: Final answer
    x = 2,556,845.92

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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.