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Finding the Third Proportional to 1,427,656 and 1,957,632

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Solution

The third proportional to 1,427,656 and 1,957,632 is: 2,684,346.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,656 : 1,957,632 = 1,957,632 : x
  2. Step 2: Convert to fraction form
    1,427,656/1,957,632 = 1,957,632/x
  3. Step 3: Cross multiply
    1,427,656x = 1,957,632 × 1,957,632
  4. Step 4: Simplify right side
    1,427,656x = 3,832,323,047,424
  5. Step 5: Solve for x
    x = 3,832,323,047,424/1,427,656
  6. Step 6: Final answer
    x = 2,684,346.26

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.