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Finding the Third Proportional to 1,537,159.78 and 2,297,268.84

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Solution

The third proportional to 1,537,159.78 and 2,297,268.84 is: 3,433,243.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,159.78 : 2,297,268.84 = 2,297,268.84 : x
  2. Step 2: Convert to fraction form
    1,537,159.78/2,297,268.84 = 2,297,268.84/x
  3. Step 3: Cross multiply
    1,537,159.78x = 2,297,268.84 × 2,297,268.84
  4. Step 4: Simplify right side
    1,537,159.78x = 5,277,444,140,464.46
  5. Step 5: Solve for x
    x = 5,277,444,140,464.46/1,537,159.78
  6. Step 6: Final answer
    x = 3,433,243.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.