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Finding the Third Proportional to 2,141,971 and 4,636,616

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Solution

The third proportional to 2,141,971 and 4,636,616 is: 10,036,647.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141,971 : 4,636,616 = 4,636,616 : x
  2. Step 2: Convert to fraction form
    2,141,971/4,636,616 = 4,636,616/x
  3. Step 3: Cross multiply
    2,141,971x = 4,636,616 × 4,636,616
  4. Step 4: Simplify right side
    2,141,971x = 21,498,207,931,456
  5. Step 5: Solve for x
    x = 21,498,207,931,456/2,141,971
  6. Step 6: Final answer
    x = 10,036,647.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.