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Finding the Third Proportional to 611,364 and 1,438,512

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Solution

The third proportional to 611,364 and 1,438,512 is: 3,384,754.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,364 : 1,438,512 = 1,438,512 : x
  2. Step 2: Convert to fraction form
    611,364/1,438,512 = 1,438,512/x
  3. Step 3: Cross multiply
    611,364x = 1,438,512 × 1,438,512
  4. Step 4: Simplify right side
    611,364x = 2,069,316,774,144
  5. Step 5: Solve for x
    x = 2,069,316,774,144/611,364
  6. Step 6: Final answer
    x = 3,384,754.05

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Why These Related Problems?

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