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Finding the Third Proportional to 732,113.44 and 1,582,666.59

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Solution

The third proportional to 732,113.44 and 1,582,666.59 is: 3,421,373.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,113.44 : 1,582,666.59 = 1,582,666.59 : x
  2. Step 2: Convert to fraction form
    732,113.44/1,582,666.59 = 1,582,666.59/x
  3. Step 3: Cross multiply
    732,113.44x = 1,582,666.59 × 1,582,666.59
  4. Step 4: Simplify right side
    732,113.44x = 2,504,833,546,972.23
  5. Step 5: Solve for x
    x = 2,504,833,546,972.23/732,113.44
  6. Step 6: Final answer
    x = 3,421,373.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.