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Finding the Third Proportional to 686,758 and 1,009,582

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Solution

The third proportional to 686,758 and 1,009,582 is: 1,484,155.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,758 : 1,009,582 = 1,009,582 : x
  2. Step 2: Convert to fraction form
    686,758/1,009,582 = 1,009,582/x
  3. Step 3: Cross multiply
    686,758x = 1,009,582 × 1,009,582
  4. Step 4: Simplify right side
    686,758x = 1,019,255,814,724
  5. Step 5: Solve for x
    x = 1,019,255,814,724/686,758
  6. Step 6: Final answer
    x = 1,484,155.72

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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.