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Finding the Third Proportional to 774,666 and 1,678,014

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Solution

The third proportional to 774,666 and 1,678,014 is: 3,634,767.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,666 : 1,678,014 = 1,678,014 : x
  2. Step 2: Convert to fraction form
    774,666/1,678,014 = 1,678,014/x
  3. Step 3: Cross multiply
    774,666x = 1,678,014 × 1,678,014
  4. Step 4: Simplify right side
    774,666x = 2,815,730,984,196
  5. Step 5: Solve for x
    x = 2,815,730,984,196/774,666
  6. Step 6: Final answer
    x = 3,634,767.74

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