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Finding the Third Proportional to 686,886 and 1,009,761

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Solution

The third proportional to 686,886 and 1,009,761 is: 1,484,405.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,886 : 1,009,761 = 1,009,761 : x
  2. Step 2: Convert to fraction form
    686,886/1,009,761 = 1,009,761/x
  3. Step 3: Cross multiply
    686,886x = 1,009,761 × 1,009,761
  4. Step 4: Simplify right side
    686,886x = 1,019,617,277,121
  5. Step 5: Solve for x
    x = 1,019,617,277,121/686,886
  6. Step 6: Final answer
    x = 1,484,405.38

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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.