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Finding the Third Proportional to 720,867,105 and 1,116,717,804

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Solution

The third proportional to 720,867,105 and 1,116,717,804 is: 1,729,942,516.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,867,105 : 1,116,717,804 = 1,116,717,804 : x
  2. Step 2: Convert to fraction form
    720,867,105/1,116,717,804 = 1,116,717,804/x
  3. Step 3: Cross multiply
    720,867,105x = 1,116,717,804 × 1,116,717,804
  4. Step 4: Simplify right side
    720,867,105x = 1,247,058,653,770,582,528
  5. Step 5: Solve for x
    x = 1,247,058,653,770,582,528/720,867,105
  6. Step 6: Final answer
    x = 1,729,942,516.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.