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Finding the Third Proportional to 898,614 and 1,946,754

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Solution

The third proportional to 898,614 and 1,946,754 is: 4,217,440.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,614 : 1,946,754 = 1,946,754 : x
  2. Step 2: Convert to fraction form
    898,614/1,946,754 = 1,946,754/x
  3. Step 3: Cross multiply
    898,614x = 1,946,754 × 1,946,754
  4. Step 4: Simplify right side
    898,614x = 3,789,851,136,516
  5. Step 5: Solve for x
    x = 3,789,851,136,516/898,614
  6. Step 6: Final answer
    x = 4,217,440.57

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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.