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Finding the Third Proportional to 468,036 and 1,006,089.75

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Solution

The third proportional to 468,036 and 1,006,089.75 is: 2,162,689.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,036 : 1,006,089.75 = 1,006,089.75 : x
  2. Step 2: Convert to fraction form
    468,036/1,006,089.75 = 1,006,089.75/x
  3. Step 3: Cross multiply
    468,036x = 1,006,089.75 × 1,006,089.75
  4. Step 4: Simplify right side
    468,036x = 1,012,216,585,055.06
  5. Step 5: Solve for x
    x = 1,012,216,585,055.06/468,036
  6. Step 6: Final answer
    x = 2,162,689.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.