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Finding the Third Proportional to 787,941 and 1,222,411.50

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Solution

The third proportional to 787,941 and 1,222,411.50 is: 1,896,448.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,941 : 1,222,411.50 = 1,222,411.50 : x
  2. Step 2: Convert to fraction form
    787,941/1,222,411.50 = 1,222,411.50/x
  3. Step 3: Cross multiply
    787,941x = 1,222,411.50 × 1,222,411.50
  4. Step 4: Simplify right side
    787,941x = 1,494,289,875,332.25
  5. Step 5: Solve for x
    x = 1,494,289,875,332.25/787,941
  6. Step 6: Final answer
    x = 1,896,448.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.