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Finding the Third Proportional to 1,617,498 and 3,462,210

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Solution

The third proportional to 1,617,498 and 3,462,210 is: 7,410,765.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617,498 : 3,462,210 = 3,462,210 : x
  2. Step 2: Convert to fraction form
    1,617,498/3,462,210 = 3,462,210/x
  3. Step 3: Cross multiply
    1,617,498x = 3,462,210 × 3,462,210
  4. Step 4: Simplify right side
    1,617,498x = 11,986,898,084,100
  5. Step 5: Solve for x
    x = 11,986,898,084,100/1,617,498
  6. Step 6: Final answer
    x = 7,410,765.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.