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Finding the Third Proportional to 535,842.38 and 1,155,815.63

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Solution

The third proportional to 535,842.38 and 1,155,815.63 is: 2,493,102.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,842.38 : 1,155,815.63 = 1,155,815.63 : x
  2. Step 2: Convert to fraction form
    535,842.38/1,155,815.63 = 1,155,815.63/x
  3. Step 3: Cross multiply
    535,842.38x = 1,155,815.63 × 1,155,815.63
  4. Step 4: Simplify right side
    535,842.38x = 1,335,909,758,994.14
  5. Step 5: Solve for x
    x = 1,335,909,758,994.14/535,842.38
  6. Step 6: Final answer
    x = 2,493,102.12

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