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Finding the Third Proportional to 837,044,869 and 1,306,428,176

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Solution

The third proportional to 837,044,869 and 1,306,428,176 is: 2,039,024,002.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,044,869 : 1,306,428,176 = 1,306,428,176 : x
  2. Step 2: Convert to fraction form
    837,044,869/1,306,428,176 = 1,306,428,176/x
  3. Step 3: Cross multiply
    837,044,869x = 1,306,428,176 × 1,306,428,176
  4. Step 4: Simplify right side
    837,044,869x = 1,706,754,579,046,686,976
  5. Step 5: Solve for x
    x = 1,706,754,579,046,686,976/837,044,869
  6. Step 6: Final answer
    x = 2,039,024,002.48

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.