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Finding the Third Proportional to 1,999,497 and 2,857,281

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Solution

The third proportional to 1,999,497 and 2,857,281 is: 4,083,054.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999,497 : 2,857,281 = 2,857,281 : x
  2. Step 2: Convert to fraction form
    1,999,497/2,857,281 = 2,857,281/x
  3. Step 3: Cross multiply
    1,999,497x = 2,857,281 × 2,857,281
  4. Step 4: Simplify right side
    1,999,497x = 8,164,054,712,961
  5. Step 5: Solve for x
    x = 8,164,054,712,961/1,999,497
  6. Step 6: Final answer
    x = 4,083,054.24

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.