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Finding the Third Proportional to 663,924 and 1,005,914

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Solution

The third proportional to 663,924 and 1,005,914 is: 1,524,064.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,924 : 1,005,914 = 1,005,914 : x
  2. Step 2: Convert to fraction form
    663,924/1,005,914 = 1,005,914/x
  3. Step 3: Cross multiply
    663,924x = 1,005,914 × 1,005,914
  4. Step 4: Simplify right side
    663,924x = 1,011,862,975,396
  5. Step 5: Solve for x
    x = 1,011,862,975,396/663,924
  6. Step 6: Final answer
    x = 1,524,064.46

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.