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Finding the Third Proportional to 1,266,316 and 1,810,710.75

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Solution

The third proportional to 1,266,316 and 1,810,710.75 is: 2,589,143.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266,316 : 1,810,710.75 = 1,810,710.75 : x
  2. Step 2: Convert to fraction form
    1,266,316/1,810,710.75 = 1,810,710.75/x
  3. Step 3: Cross multiply
    1,266,316x = 1,810,710.75 × 1,810,710.75
  4. Step 4: Simplify right side
    1,266,316x = 3,278,673,420,165.56
  5. Step 5: Solve for x
    x = 3,278,673,420,165.56/1,266,316
  6. Step 6: Final answer
    x = 2,589,143.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.