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Finding the Third Proportional to 1,636,030 and 3,422,398

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Solution

The third proportional to 1,636,030 and 3,422,398 is: 7,159,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636,030 : 3,422,398 = 3,422,398 : x
  2. Step 2: Convert to fraction form
    1,636,030/3,422,398 = 3,422,398/x
  3. Step 3: Cross multiply
    1,636,030x = 3,422,398 × 3,422,398
  4. Step 4: Simplify right side
    1,636,030x = 11,712,808,070,404
  5. Step 5: Solve for x
    x = 11,712,808,070,404/1,636,030
  6. Step 6: Final answer
    x = 7,159,286.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.