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Finding the Third Proportional to 415,820 and 912,834

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Solution

The third proportional to 415,820 and 912,834 is: 2,003,910.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,820 : 912,834 = 912,834 : x
  2. Step 2: Convert to fraction form
    415,820/912,834 = 912,834/x
  3. Step 3: Cross multiply
    415,820x = 912,834 × 912,834
  4. Step 4: Simplify right side
    415,820x = 833,265,911,556
  5. Step 5: Solve for x
    x = 833,265,911,556/415,820
  6. Step 6: Final answer
    x = 2,003,910.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.