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Finding the Third Proportional to 921,084 and 1,420,998

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Solution

The third proportional to 921,084 and 1,420,998 is: 2,192,237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,084 : 1,420,998 = 1,420,998 : x
  2. Step 2: Convert to fraction form
    921,084/1,420,998 = 1,420,998/x
  3. Step 3: Cross multiply
    921,084x = 1,420,998 × 1,420,998
  4. Step 4: Simplify right side
    921,084x = 2,019,235,316,004
  5. Step 5: Solve for x
    x = 2,019,235,316,004/921,084
  6. Step 6: Final answer
    x = 2,192,237.97

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.