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Finding the Third Proportional to 738,742.13 and 1,617,608.63

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Solution

The third proportional to 738,742.13 and 1,617,608.63 is: 3,542,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,742.13 : 1,617,608.63 = 1,617,608.63 : x
  2. Step 2: Convert to fraction form
    738,742.13/1,617,608.63 = 1,617,608.63/x
  3. Step 3: Cross multiply
    738,742.13x = 1,617,608.63 × 1,617,608.63
  4. Step 4: Simplify right side
    738,742.13x = 2,616,657,663,674.39
  5. Step 5: Solve for x
    x = 2,616,657,663,674.39/738,742.13
  6. Step 6: Final answer
    x = 3,542,044.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.