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Finding the Third Proportional to 771,991 and 1,701,040

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Solution

The third proportional to 771,991 and 1,701,040 is: 3,748,148.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,991 : 1,701,040 = 1,701,040 : x
  2. Step 2: Convert to fraction form
    771,991/1,701,040 = 1,701,040/x
  3. Step 3: Cross multiply
    771,991x = 1,701,040 × 1,701,040
  4. Step 4: Simplify right side
    771,991x = 2,893,537,081,600
  5. Step 5: Solve for x
    x = 2,893,537,081,600/771,991
  6. Step 6: Final answer
    x = 3,748,148.72

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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.