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Finding the Third Proportional to 771,993 and 1,701,045

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Solution

The third proportional to 771,993 and 1,701,045 is: 3,748,161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,993 : 1,701,045 = 1,701,045 : x
  2. Step 2: Convert to fraction form
    771,993/1,701,045 = 1,701,045/x
  3. Step 3: Cross multiply
    771,993x = 1,701,045 × 1,701,045
  4. Step 4: Simplify right side
    771,993x = 2,893,554,092,025
  5. Step 5: Solve for x
    x = 2,893,554,092,025/771,993
  6. Step 6: Final answer
    x = 3,748,161.05

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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.