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Finding the Third Proportional to 921,192 and 1,421,160

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Solution

The third proportional to 921,192 and 1,421,160 is: 2,192,480.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,192 : 1,421,160 = 1,421,160 : x
  2. Step 2: Convert to fraction form
    921,192/1,421,160 = 1,421,160/x
  3. Step 3: Cross multiply
    921,192x = 1,421,160 × 1,421,160
  4. Step 4: Simplify right side
    921,192x = 2,019,695,745,600
  5. Step 5: Solve for x
    x = 2,019,695,745,600/921,192
  6. Step 6: Final answer
    x = 2,192,480.77

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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.