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Finding the Third Proportional to 1,936,291 and 4,208,409

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Solution

The third proportional to 1,936,291 and 4,208,409 is: 9,146,717.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936,291 : 4,208,409 = 4,208,409 : x
  2. Step 2: Convert to fraction form
    1,936,291/4,208,409 = 4,208,409/x
  3. Step 3: Cross multiply
    1,936,291x = 4,208,409 × 4,208,409
  4. Step 4: Simplify right side
    1,936,291x = 17,710,706,311,281
  5. Step 5: Solve for x
    x = 17,710,706,311,281/1,936,291
  6. Step 6: Final answer
    x = 9,146,717.26

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.