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Finding the Third Proportional to 1,329,824 and 2,850,160

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Solution

The third proportional to 1,329,824 and 2,850,160 is: 6,108,636.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329,824 : 2,850,160 = 2,850,160 : x
  2. Step 2: Convert to fraction form
    1,329,824/2,850,160 = 2,850,160/x
  3. Step 3: Cross multiply
    1,329,824x = 2,850,160 × 2,850,160
  4. Step 4: Simplify right side
    1,329,824x = 8,123,412,025,600
  5. Step 5: Solve for x
    x = 8,123,412,025,600/1,329,824
  6. Step 6: Final answer
    x = 6,108,636.95

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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.