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Finding the Third Proportional to 420,662 and 912,300

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Solution

The third proportional to 420,662 and 912,300 is: 1,978,527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,662 : 912,300 = 912,300 : x
  2. Step 2: Convert to fraction form
    420,662/912,300 = 912,300/x
  3. Step 3: Cross multiply
    420,662x = 912,300 × 912,300
  4. Step 4: Simplify right side
    420,662x = 832,291,290,000
  5. Step 5: Solve for x
    x = 832,291,290,000/420,662
  6. Step 6: Final answer
    x = 1,978,527.39

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