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Finding the Third Proportional to 577,119 and 1,252,807

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Solution

The third proportional to 577,119 and 1,252,807 is: 2,719,587.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,119 : 1,252,807 = 1,252,807 : x
  2. Step 2: Convert to fraction form
    577,119/1,252,807 = 1,252,807/x
  3. Step 3: Cross multiply
    577,119x = 1,252,807 × 1,252,807
  4. Step 4: Simplify right side
    577,119x = 1,569,525,379,249
  5. Step 5: Solve for x
    x = 1,569,525,379,249/577,119
  6. Step 6: Final answer
    x = 2,719,587.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.