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Finding the Third Proportional to 778,782.50 and 1,137,552

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Solution

The third proportional to 778,782.50 and 1,137,552 is: 1,661,599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,782.50 : 1,137,552 = 1,137,552 : x
  2. Step 2: Convert to fraction form
    778,782.50/1,137,552 = 1,137,552/x
  3. Step 3: Cross multiply
    778,782.50x = 1,137,552 × 1,137,552
  4. Step 4: Simplify right side
    778,782.50x = 1,294,024,552,704
  5. Step 5: Solve for x
    x = 1,294,024,552,704/778,782.50
  6. Step 6: Final answer
    x = 1,661,599.42

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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.