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Finding the Third Proportional to 1,898,502.75 and 4,157,610.75

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Solution

The third proportional to 1,898,502.75 and 4,157,610.75 is: 9,104,926.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898,502.75 : 4,157,610.75 = 4,157,610.75 : x
  2. Step 2: Convert to fraction form
    1,898,502.75/4,157,610.75 = 4,157,610.75/x
  3. Step 3: Cross multiply
    1,898,502.75x = 4,157,610.75 × 4,157,610.75
  4. Step 4: Simplify right side
    1,898,502.75x = 17,285,727,148,515.56
  5. Step 5: Solve for x
    x = 17,285,727,148,515.56/1,898,502.75
  6. Step 6: Final answer
    x = 9,104,926.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.