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Finding the Third Proportional to 982,445 and 1,562,234

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Solution

The third proportional to 982,445 and 1,562,234 is: 2,484,184.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,445 : 1,562,234 = 1,562,234 : x
  2. Step 2: Convert to fraction form
    982,445/1,562,234 = 1,562,234/x
  3. Step 3: Cross multiply
    982,445x = 1,562,234 × 1,562,234
  4. Step 4: Simplify right side
    982,445x = 2,440,575,070,756
  5. Step 5: Solve for x
    x = 2,440,575,070,756/982,445
  6. Step 6: Final answer
    x = 2,484,184.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.