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Finding the Third Proportional to 738,245,029.50 and 1,079,340,025.50

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Solution

The third proportional to 738,245,029.50 and 1,079,340,025.50 is: 1,578,032,826.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,245,029.50 : 1,079,340,025.50 = 1,079,340,025.50 : x
  2. Step 2: Convert to fraction form
    738,245,029.50/1,079,340,025.50 = 1,079,340,025.50/x
  3. Step 3: Cross multiply
    738,245,029.50x = 1,079,340,025.50 × 1,079,340,025.50
  4. Step 4: Simplify right side
    738,245,029.50x = 1,164,974,890,646,340,608
  5. Step 5: Solve for x
    x = 1,164,974,890,646,340,608/738,245,029.50
  6. Step 6: Final answer
    x = 1,578,032,826.63

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.