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Finding the Third Proportional to 374,811 and 822,543

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Solution

The third proportional to 374,811 and 822,543 is: 1,805,115.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,811 : 822,543 = 822,543 : x
  2. Step 2: Convert to fraction form
    374,811/822,543 = 822,543/x
  3. Step 3: Cross multiply
    374,811x = 822,543 × 822,543
  4. Step 4: Simplify right side
    374,811x = 676,576,986,849
  5. Step 5: Solve for x
    x = 676,576,986,849/374,811
  6. Step 6: Final answer
    x = 1,805,115.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.