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Finding the Third Proportional to 1,447,200 and 2,127,438

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Solution

The third proportional to 1,447,200 and 2,127,438 is: 3,127,413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447,200 : 2,127,438 = 2,127,438 : x
  2. Step 2: Convert to fraction form
    1,447,200/2,127,438 = 2,127,438/x
  3. Step 3: Cross multiply
    1,447,200x = 2,127,438 × 2,127,438
  4. Step 4: Simplify right side
    1,447,200x = 4,525,992,443,844
  5. Step 5: Solve for x
    x = 4,525,992,443,844/1,447,200
  6. Step 6: Final answer
    x = 3,127,413.24

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.