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Finding the Third Proportional to 702,449.63 and 1,522,999.13

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Solution

The third proportional to 702,449.63 and 1,522,999.13 is: 3,302,053.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,449.63 : 1,522,999.13 = 1,522,999.13 : x
  2. Step 2: Convert to fraction form
    702,449.63/1,522,999.13 = 1,522,999.13/x
  3. Step 3: Cross multiply
    702,449.63x = 1,522,999.13 × 1,522,999.13
  4. Step 4: Simplify right side
    702,449.63x = 2,319,526,334,750.77
  5. Step 5: Solve for x
    x = 2,319,526,334,750.77/702,449.63
  6. Step 6: Final answer
    x = 3,302,053.63

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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.