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Finding the Third Proportional to 1,449,916 and 3,411,382

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Solution

The third proportional to 1,449,916 and 3,411,382 is: 8,026,345.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449,916 : 3,411,382 = 3,411,382 : x
  2. Step 2: Convert to fraction form
    1,449,916/3,411,382 = 3,411,382/x
  3. Step 3: Cross multiply
    1,449,916x = 3,411,382 × 3,411,382
  4. Step 4: Simplify right side
    1,449,916x = 11,637,527,149,924
  5. Step 5: Solve for x
    x = 11,637,527,149,924/1,449,916
  6. Step 6: Final answer
    x = 8,026,345.77

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.