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Finding the Third Proportional to 700,083 and 1,019,493

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Solution

The third proportional to 700,083 and 1,019,493 is: 1,484,632.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,083 : 1,019,493 = 1,019,493 : x
  2. Step 2: Convert to fraction form
    700,083/1,019,493 = 1,019,493/x
  3. Step 3: Cross multiply
    700,083x = 1,019,493 × 1,019,493
  4. Step 4: Simplify right side
    700,083x = 1,039,365,977,049
  5. Step 5: Solve for x
    x = 1,039,365,977,049/700,083
  6. Step 6: Final answer
    x = 1,484,632.50

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.