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Finding the Third Proportional to 1,030,538 and 1,423,983

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Solution

The third proportional to 1,030,538 and 1,423,983 is: 1,967,639.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,538 : 1,423,983 = 1,423,983 : x
  2. Step 2: Convert to fraction form
    1,030,538/1,423,983 = 1,423,983/x
  3. Step 3: Cross multiply
    1,030,538x = 1,423,983 × 1,423,983
  4. Step 4: Simplify right side
    1,030,538x = 2,027,727,584,289
  5. Step 5: Solve for x
    x = 2,027,727,584,289/1,030,538
  6. Step 6: Final answer
    x = 1,967,639.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.