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Finding the Third Proportional to 2,101,824 and 4,371,388

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Solution

The third proportional to 2,101,824 and 4,371,388 is: 9,091,642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101,824 : 4,371,388 = 4,371,388 : x
  2. Step 2: Convert to fraction form
    2,101,824/4,371,388 = 4,371,388/x
  3. Step 3: Cross multiply
    2,101,824x = 4,371,388 × 4,371,388
  4. Step 4: Simplify right side
    2,101,824x = 19,109,033,046,544
  5. Step 5: Solve for x
    x = 19,109,033,046,544/2,101,824
  6. Step 6: Final answer
    x = 9,091,642.80

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.