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Finding the Third Proportional to 771,974 and 1,701,006

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Solution

The third proportional to 771,974 and 1,701,006 is: 3,748,081.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,974 : 1,701,006 = 1,701,006 : x
  2. Step 2: Convert to fraction form
    771,974/1,701,006 = 1,701,006/x
  3. Step 3: Cross multiply
    771,974x = 1,701,006 × 1,701,006
  4. Step 4: Simplify right side
    771,974x = 2,893,421,412,036
  5. Step 5: Solve for x
    x = 2,893,421,412,036/771,974
  6. Step 6: Final answer
    x = 3,748,081.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.