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Finding the Third Proportional to 2,320,155.14 and 3,409,122.94

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Solution

The third proportional to 2,320,155.14 and 3,409,122.94 is: 5,009,199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320,155.14 : 3,409,122.94 = 3,409,122.94 : x
  2. Step 2: Convert to fraction form
    2,320,155.14/3,409,122.94 = 3,409,122.94/x
  3. Step 3: Cross multiply
    2,320,155.14x = 3,409,122.94 × 3,409,122.94
  4. Step 4: Simplify right side
    2,320,155.14x = 11,622,119,202,988.63
  5. Step 5: Solve for x
    x = 11,622,119,202,988.63/2,320,155.14
  6. Step 6: Final answer
    x = 5,009,199.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.