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Finding the Third Proportional to 898,372 and 1,946,136

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Solution

The third proportional to 898,372 and 1,946,136 is: 4,215,898.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,372 : 1,946,136 = 1,946,136 : x
  2. Step 2: Convert to fraction form
    898,372/1,946,136 = 1,946,136/x
  3. Step 3: Cross multiply
    898,372x = 1,946,136 × 1,946,136
  4. Step 4: Simplify right side
    898,372x = 3,787,445,330,496
  5. Step 5: Solve for x
    x = 3,787,445,330,496/898,372
  6. Step 6: Final answer
    x = 4,215,898.68

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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.