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Finding the Third Proportional to 1,195,707,988 and 1,683,086,598

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Solution

The third proportional to 1,195,707,988 and 1,683,086,598 is: 2,369,124,004.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195,707,988 : 1,683,086,598 = 1,683,086,598 : x
  2. Step 2: Convert to fraction form
    1,195,707,988/1,683,086,598 = 1,683,086,598/x
  3. Step 3: Cross multiply
    1,195,707,988x = 1,683,086,598 × 1,683,086,598
  4. Step 4: Simplify right side
    1,195,707,988x = 2,832,780,496,367,213,568
  5. Step 5: Solve for x
    x = 2,832,780,496,367,213,568/1,195,707,988
  6. Step 6: Final answer
    x = 2,369,124,004.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.