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Finding the Third Proportional to 997,930 and 1,563,657

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Solution

The third proportional to 997,930 and 1,563,657 is: 2,450,094.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,930 : 1,563,657 = 1,563,657 : x
  2. Step 2: Convert to fraction form
    997,930/1,563,657 = 1,563,657/x
  3. Step 3: Cross multiply
    997,930x = 1,563,657 × 1,563,657
  4. Step 4: Simplify right side
    997,930x = 2,445,023,213,649
  5. Step 5: Solve for x
    x = 2,445,023,213,649/997,930
  6. Step 6: Final answer
    x = 2,450,094.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.