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Finding the Third Proportional to 420,885 and 920,501.88

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Solution

The third proportional to 420,885 and 920,501.88 is: 2,013,195.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,885 : 920,501.88 = 920,501.88 : x
  2. Step 2: Convert to fraction form
    420,885/920,501.88 = 920,501.88/x
  3. Step 3: Cross multiply
    420,885x = 920,501.88 × 920,501.88
  4. Step 4: Simplify right side
    420,885x = 847,323,701,878.52
  5. Step 5: Solve for x
    x = 847,323,701,878.52/420,885
  6. Step 6: Final answer
    x = 2,013,195.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.