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Finding the Third Proportional to 419,202 and 909,300

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Solution

The third proportional to 419,202 and 909,300 is: 1,972,382.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,202 : 909,300 = 909,300 : x
  2. Step 2: Convert to fraction form
    419,202/909,300 = 909,300/x
  3. Step 3: Cross multiply
    419,202x = 909,300 × 909,300
  4. Step 4: Simplify right side
    419,202x = 826,826,490,000
  5. Step 5: Solve for x
    x = 826,826,490,000/419,202
  6. Step 6: Final answer
    x = 1,972,382.03

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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.