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Finding the Third Proportional to 775,316 and 1,642,692

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Solution

The third proportional to 775,316 and 1,642,692 is: 3,480,435.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,316 : 1,642,692 = 1,642,692 : x
  2. Step 2: Convert to fraction form
    775,316/1,642,692 = 1,642,692/x
  3. Step 3: Cross multiply
    775,316x = 1,642,692 × 1,642,692
  4. Step 4: Simplify right side
    775,316x = 2,698,437,006,864
  5. Step 5: Solve for x
    x = 2,698,437,006,864/775,316
  6. Step 6: Final answer
    x = 3,480,435.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.