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Finding the Third Proportional to 771,038 and 1,670,788

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Solution

The third proportional to 771,038 and 1,670,788 is: 3,620,486.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,038 : 1,670,788 = 1,670,788 : x
  2. Step 2: Convert to fraction form
    771,038/1,670,788 = 1,670,788/x
  3. Step 3: Cross multiply
    771,038x = 1,670,788 × 1,670,788
  4. Step 4: Simplify right side
    771,038x = 2,791,532,540,944
  5. Step 5: Solve for x
    x = 2,791,532,540,944/771,038
  6. Step 6: Final answer
    x = 3,620,486.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.