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Finding the Third Proportional to 663,943 and 1,003,820

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Solution

The third proportional to 663,943 and 1,003,820 is: 1,517,682.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,943 : 1,003,820 = 1,003,820 : x
  2. Step 2: Convert to fraction form
    663,943/1,003,820 = 1,003,820/x
  3. Step 3: Cross multiply
    663,943x = 1,003,820 × 1,003,820
  4. Step 4: Simplify right side
    663,943x = 1,007,654,592,400
  5. Step 5: Solve for x
    x = 1,007,654,592,400/663,943
  6. Step 6: Final answer
    x = 1,517,682.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.