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Finding the Third Proportional to 1,064,115 and 2,364,381

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Solution

The third proportional to 1,064,115 and 2,364,381 is: 5,253,471.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064,115 : 2,364,381 = 2,364,381 : x
  2. Step 2: Convert to fraction form
    1,064,115/2,364,381 = 2,364,381/x
  3. Step 3: Cross multiply
    1,064,115x = 2,364,381 × 2,364,381
  4. Step 4: Simplify right side
    1,064,115x = 5,590,297,513,161
  5. Step 5: Solve for x
    x = 5,590,297,513,161/1,064,115
  6. Step 6: Final answer
    x = 5,253,471.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.