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Finding the Third Proportional to 551,918 and 809,702

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Solution

The third proportional to 551,918 and 809,702 is: 1,187,889.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,918 : 809,702 = 809,702 : x
  2. Step 2: Convert to fraction form
    551,918/809,702 = 809,702/x
  3. Step 3: Cross multiply
    551,918x = 809,702 × 809,702
  4. Step 4: Simplify right side
    551,918x = 655,617,328,804
  5. Step 5: Solve for x
    x = 655,617,328,804/551,918
  6. Step 6: Final answer
    x = 1,187,889.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.