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Finding the Third Proportional to 1,154,238 and 1,724,895

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Solution

The third proportional to 1,154,238 and 1,724,895 is: 2,577,685.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154,238 : 1,724,895 = 1,724,895 : x
  2. Step 2: Convert to fraction form
    1,154,238/1,724,895 = 1,724,895/x
  3. Step 3: Cross multiply
    1,154,238x = 1,724,895 × 1,724,895
  4. Step 4: Simplify right side
    1,154,238x = 2,975,262,761,025
  5. Step 5: Solve for x
    x = 2,975,262,761,025/1,154,238
  6. Step 6: Final answer
    x = 2,577,685.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.