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Finding the Third Proportional to 1,154,234.75 and 1,724,892

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Solution

The third proportional to 1,154,234.75 and 1,724,892 is: 2,577,683.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154,234.75 : 1,724,892 = 1,724,892 : x
  2. Step 2: Convert to fraction form
    1,154,234.75/1,724,892 = 1,724,892/x
  3. Step 3: Cross multiply
    1,154,234.75x = 1,724,892 × 1,724,892
  4. Step 4: Simplify right side
    1,154,234.75x = 2,975,252,411,664
  5. Step 5: Solve for x
    x = 2,975,252,411,664/1,154,234.75
  6. Step 6: Final answer
    x = 2,577,683.97

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Why These Related Problems?

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