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Finding the Third Proportional to 921,362 and 1,421,406

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Solution

The third proportional to 921,362 and 1,421,406 is: 2,192,835.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,362 : 1,421,406 = 1,421,406 : x
  2. Step 2: Convert to fraction form
    921,362/1,421,406 = 1,421,406/x
  3. Step 3: Cross multiply
    921,362x = 1,421,406 × 1,421,406
  4. Step 4: Simplify right side
    921,362x = 2,020,395,016,836
  5. Step 5: Solve for x
    x = 2,020,395,016,836/921,362
  6. Step 6: Final answer
    x = 2,192,835.19

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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.