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Finding the Third Proportional to 690,718,811 and 1,062,756,134

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Solution

The third proportional to 690,718,811 and 1,062,756,134 is: 1,635,181,469.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,718,811 : 1,062,756,134 = 1,062,756,134 : x
  2. Step 2: Convert to fraction form
    690,718,811/1,062,756,134 = 1,062,756,134/x
  3. Step 3: Cross multiply
    690,718,811x = 1,062,756,134 × 1,062,756,134
  4. Step 4: Simplify right side
    690,718,811x = 1,129,450,600,354,625,920
  5. Step 5: Solve for x
    x = 1,129,450,600,354,625,920/690,718,811
  6. Step 6: Final answer
    x = 1,635,181,469.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.