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Finding the Third Proportional to 766,238 and 1,554,364

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Solution

The third proportional to 766,238 and 1,554,364 is: 3,153,129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,238 : 1,554,364 = 1,554,364 : x
  2. Step 2: Convert to fraction form
    766,238/1,554,364 = 1,554,364/x
  3. Step 3: Cross multiply
    766,238x = 1,554,364 × 1,554,364
  4. Step 4: Simplify right side
    766,238x = 2,416,047,444,496
  5. Step 5: Solve for x
    x = 2,416,047,444,496/766,238
  6. Step 6: Final answer
    x = 3,153,129.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.