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Finding the Third Proportional to 613,724.34 and 1,333,680.19

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Solution

The third proportional to 613,724.34 and 1,333,680.19 is: 2,898,211.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,724.34 : 1,333,680.19 = 1,333,680.19 : x
  2. Step 2: Convert to fraction form
    613,724.34/1,333,680.19 = 1,333,680.19/x
  3. Step 3: Cross multiply
    613,724.34x = 1,333,680.19 × 1,333,680.19
  4. Step 4: Simplify right side
    613,724.34x = 1,778,702,842,530.04
  5. Step 5: Solve for x
    x = 1,778,702,842,530.04/613,724.34
  6. Step 6: Final answer
    x = 2,898,211.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.