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Finding the Third Proportional to 686,754 and 1,009,577

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Solution

The third proportional to 686,754 and 1,009,577 is: 1,484,149.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,754 : 1,009,577 = 1,009,577 : x
  2. Step 2: Convert to fraction form
    686,754/1,009,577 = 1,009,577/x
  3. Step 3: Cross multiply
    686,754x = 1,009,577 × 1,009,577
  4. Step 4: Simplify right side
    686,754x = 1,019,245,718,929
  5. Step 5: Solve for x
    x = 1,019,245,718,929/686,754
  6. Step 6: Final answer
    x = 1,484,149.66

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.