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Finding the Third Proportional to 1,154,240 and 1,724,899

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Solution

The third proportional to 1,154,240 and 1,724,899 is: 2,577,693.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154,240 : 1,724,899 = 1,724,899 : x
  2. Step 2: Convert to fraction form
    1,154,240/1,724,899 = 1,724,899/x
  3. Step 3: Cross multiply
    1,154,240x = 1,724,899 × 1,724,899
  4. Step 4: Simplify right side
    1,154,240x = 2,975,276,560,201
  5. Step 5: Solve for x
    x = 2,975,276,560,201/1,154,240
  6. Step 6: Final answer
    x = 2,577,693.17

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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.