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Finding the Third Proportional to 1,025,926.50 and 1,760,316.75

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Solution

The third proportional to 1,025,926.50 and 1,760,316.75 is: 3,020,406.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,926.50 : 1,760,316.75 = 1,760,316.75 : x
  2. Step 2: Convert to fraction form
    1,025,926.50/1,760,316.75 = 1,760,316.75/x
  3. Step 3: Cross multiply
    1,025,926.50x = 1,760,316.75 × 1,760,316.75
  4. Step 4: Simplify right side
    1,025,926.50x = 3,098,715,060,330.56
  5. Step 5: Solve for x
    x = 3,098,715,060,330.56/1,025,926.50
  6. Step 6: Final answer
    x = 3,020,406.49

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.