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Finding the Third Proportional to 1,154,241 and 1,724,900

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Solution

The third proportional to 1,154,241 and 1,724,900 is: 2,577,693.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154,241 : 1,724,900 = 1,724,900 : x
  2. Step 2: Convert to fraction form
    1,154,241/1,724,900 = 1,724,900/x
  3. Step 3: Cross multiply
    1,154,241x = 1,724,900 × 1,724,900
  4. Step 4: Simplify right side
    1,154,241x = 2,975,280,010,000
  5. Step 5: Solve for x
    x = 2,975,280,010,000/1,154,241
  6. Step 6: Final answer
    x = 2,577,693.92

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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.