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Finding the Third Proportional to 508,735.69 and 1,106,044.88

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Solution

The third proportional to 508,735.69 and 1,106,044.88 is: 2,404,657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,735.69 : 1,106,044.88 = 1,106,044.88 : x
  2. Step 2: Convert to fraction form
    508,735.69/1,106,044.88 = 1,106,044.88/x
  3. Step 3: Cross multiply
    508,735.69x = 1,106,044.88 × 1,106,044.88
  4. Step 4: Simplify right side
    508,735.69x = 1,223,335,265,513.77
  5. Step 5: Solve for x
    x = 1,223,335,265,513.77/508,735.69
  6. Step 6: Final answer
    x = 2,404,657.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.