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Finding the Third Proportional to 771,714 and 1,654,182

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Solution

The third proportional to 771,714 and 1,654,182 is: 3,545,767.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,714 : 1,654,182 = 1,654,182 : x
  2. Step 2: Convert to fraction form
    771,714/1,654,182 = 1,654,182/x
  3. Step 3: Cross multiply
    771,714x = 1,654,182 × 1,654,182
  4. Step 4: Simplify right side
    771,714x = 2,736,318,089,124
  5. Step 5: Solve for x
    x = 2,736,318,089,124/771,714
  6. Step 6: Final answer
    x = 3,545,767.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.