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Finding the Third Proportional to 732,762.56 and 1,590,857.44

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Solution

The third proportional to 732,762.56 and 1,590,857.44 is: 3,453,816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,762.56 : 1,590,857.44 = 1,590,857.44 : x
  2. Step 2: Convert to fraction form
    732,762.56/1,590,857.44 = 1,590,857.44/x
  3. Step 3: Cross multiply
    732,762.56x = 1,590,857.44 × 1,590,857.44
  4. Step 4: Simplify right side
    732,762.56x = 2,530,827,386,449.07
  5. Step 5: Solve for x
    x = 2,530,827,386,449.07/732,762.56
  6. Step 6: Final answer
    x = 3,453,816.44

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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.