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Finding the Third Proportional to 771,035 and 1,670,778

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Solution

The third proportional to 771,035 and 1,670,778 is: 3,620,457.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,035 : 1,670,778 = 1,670,778 : x
  2. Step 2: Convert to fraction form
    771,035/1,670,778 = 1,670,778/x
  3. Step 3: Cross multiply
    771,035x = 1,670,778 × 1,670,778
  4. Step 4: Simplify right side
    771,035x = 2,791,499,125,284
  5. Step 5: Solve for x
    x = 2,791,499,125,284/771,035
  6. Step 6: Final answer
    x = 3,620,457.08

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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.