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Finding the Third Proportional to 729,022.50 and 1,569,802.50

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Solution

The third proportional to 729,022.50 and 1,569,802.50 is: 3,380,252.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,022.50 : 1,569,802.50 = 1,569,802.50 : x
  2. Step 2: Convert to fraction form
    729,022.50/1,569,802.50 = 1,569,802.50/x
  3. Step 3: Cross multiply
    729,022.50x = 1,569,802.50 × 1,569,802.50
  4. Step 4: Simplify right side
    729,022.50x = 2,464,279,889,006.25
  5. Step 5: Solve for x
    x = 2,464,279,889,006.25/729,022.50
  6. Step 6: Final answer
    x = 3,380,252.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.