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Finding the Third Proportional to 464,683 and 985,106

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Solution

The third proportional to 464,683 and 985,106 is: 2,088,378.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,683 : 985,106 = 985,106 : x
  2. Step 2: Convert to fraction form
    464,683/985,106 = 985,106/x
  3. Step 3: Cross multiply
    464,683x = 985,106 × 985,106
  4. Step 4: Simplify right side
    464,683x = 970,433,831,236
  5. Step 5: Solve for x
    x = 970,433,831,236/464,683
  6. Step 6: Final answer
    x = 2,088,378.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.