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Finding the Third Proportional to 697,012 and 1,025,094

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Solution

The third proportional to 697,012 and 1,025,094 is: 1,507,603.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,012 : 1,025,094 = 1,025,094 : x
  2. Step 2: Convert to fraction form
    697,012/1,025,094 = 1,025,094/x
  3. Step 3: Cross multiply
    697,012x = 1,025,094 × 1,025,094
  4. Step 4: Simplify right side
    697,012x = 1,050,817,708,836
  5. Step 5: Solve for x
    x = 1,050,817,708,836/697,012
  6. Step 6: Final answer
    x = 1,507,603.47

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Why These Related Problems?

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