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Finding the Third Proportional to 3,435,688.13 and 5,314,942.69

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Solution

The third proportional to 3,435,688.13 and 5,314,942.69 is: 8,222,112.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435,688.13 : 5,314,942.69 = 5,314,942.69 : x
  2. Step 2: Convert to fraction form
    3,435,688.13/5,314,942.69 = 5,314,942.69/x
  3. Step 3: Cross multiply
    3,435,688.13x = 5,314,942.69 × 5,314,942.69
  4. Step 4: Simplify right side
    3,435,688.13x = 28,248,615,771,409.72
  5. Step 5: Solve for x
    x = 28,248,615,771,409.72/3,435,688.13
  6. Step 6: Final answer
    x = 8,222,112.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.