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Finding the Third Proportional to 2,367,201 and 5,177,364

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Solution

The third proportional to 2,367,201 and 5,177,364 is: 11,323,541.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367,201 : 5,177,364 = 5,177,364 : x
  2. Step 2: Convert to fraction form
    2,367,201/5,177,364 = 5,177,364/x
  3. Step 3: Cross multiply
    2,367,201x = 5,177,364 × 5,177,364
  4. Step 4: Simplify right side
    2,367,201x = 26,805,097,988,496
  5. Step 5: Solve for x
    x = 26,805,097,988,496/2,367,201
  6. Step 6: Final answer
    x = 11,323,541.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.