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Finding the Third Proportional to 964,701 and 2,100,834

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Solution

The third proportional to 964,701 and 2,100,834 is: 4,574,996.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,701 : 2,100,834 = 2,100,834 : x
  2. Step 2: Convert to fraction form
    964,701/2,100,834 = 2,100,834/x
  3. Step 3: Cross multiply
    964,701x = 2,100,834 × 2,100,834
  4. Step 4: Simplify right side
    964,701x = 4,413,503,495,556
  5. Step 5: Solve for x
    x = 4,413,503,495,556/964,701
  6. Step 6: Final answer
    x = 4,574,996.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.