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Finding the Third Proportional to 823,567 and 1,778,354

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Solution

The third proportional to 823,567 and 1,778,354 is: 3,840,055.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,567 : 1,778,354 = 1,778,354 : x
  2. Step 2: Convert to fraction form
    823,567/1,778,354 = 1,778,354/x
  3. Step 3: Cross multiply
    823,567x = 1,778,354 × 1,778,354
  4. Step 4: Simplify right side
    823,567x = 3,162,542,949,316
  5. Step 5: Solve for x
    x = 3,162,542,949,316/823,567
  6. Step 6: Final answer
    x = 3,840,055.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.