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Finding the Third Proportional to 653,834 and 1,410,943

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Solution

The third proportional to 653,834 and 1,410,943 is: 3,044,748.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,834 : 1,410,943 = 1,410,943 : x
  2. Step 2: Convert to fraction form
    653,834/1,410,943 = 1,410,943/x
  3. Step 3: Cross multiply
    653,834x = 1,410,943 × 1,410,943
  4. Step 4: Simplify right side
    653,834x = 1,990,760,149,249
  5. Step 5: Solve for x
    x = 1,990,760,149,249/653,834
  6. Step 6: Final answer
    x = 3,044,748.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.