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Finding the Third Proportional to 697,002 and 1,025,079

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Solution

The third proportional to 697,002 and 1,025,079 is: 1,507,580.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,002 : 1,025,079 = 1,025,079 : x
  2. Step 2: Convert to fraction form
    697,002/1,025,079 = 1,025,079/x
  3. Step 3: Cross multiply
    697,002x = 1,025,079 × 1,025,079
  4. Step 4: Simplify right side
    697,002x = 1,050,786,956,241
  5. Step 5: Solve for x
    x = 1,050,786,956,241/697,002
  6. Step 6: Final answer
    x = 1,507,580.98

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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.