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Finding the Third Proportional to 758,438 and 1,628,412

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Solution

The third proportional to 758,438 and 1,628,412 is: 3,496,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,438 : 1,628,412 = 1,628,412 : x
  2. Step 2: Convert to fraction form
    758,438/1,628,412 = 1,628,412/x
  3. Step 3: Cross multiply
    758,438x = 1,628,412 × 1,628,412
  4. Step 4: Simplify right side
    758,438x = 2,651,725,641,744
  5. Step 5: Solve for x
    x = 2,651,725,641,744/758,438
  6. Step 6: Final answer
    x = 3,496,298.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.