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Finding the Third Proportional to 945,970 and 1,468,778

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Solution

The third proportional to 945,970 and 1,468,778 is: 2,280,525.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,970 : 1,468,778 = 1,468,778 : x
  2. Step 2: Convert to fraction form
    945,970/1,468,778 = 1,468,778/x
  3. Step 3: Cross multiply
    945,970x = 1,468,778 × 1,468,778
  4. Step 4: Simplify right side
    945,970x = 2,157,308,813,284
  5. Step 5: Solve for x
    x = 2,157,308,813,284/945,970
  6. Step 6: Final answer
    x = 2,280,525.61

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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.