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Finding the Third Proportional to 1,651,509 and 2,413,533.38

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Solution

The third proportional to 1,651,509 and 2,413,533.38 is: 3,527,164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651,509 : 2,413,533.38 = 2,413,533.38 : x
  2. Step 2: Convert to fraction form
    1,651,509/2,413,533.38 = 2,413,533.38/x
  3. Step 3: Cross multiply
    1,651,509x = 2,413,533.38 × 2,413,533.38
  4. Step 4: Simplify right side
    1,651,509x = 5,825,143,352,238.89
  5. Step 5: Solve for x
    x = 5,825,143,352,238.89/1,651,509
  6. Step 6: Final answer
    x = 3,527,164.16

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.