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Finding the Third Proportional to 697,059 and 1,032,633

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Solution

The third proportional to 697,059 and 1,032,633 is: 1,529,757.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,059 : 1,032,633 = 1,032,633 : x
  2. Step 2: Convert to fraction form
    697,059/1,032,633 = 1,032,633/x
  3. Step 3: Cross multiply
    697,059x = 1,032,633 × 1,032,633
  4. Step 4: Simplify right side
    697,059x = 1,066,330,912,689
  5. Step 5: Solve for x
    x = 1,066,330,912,689/697,059
  6. Step 6: Final answer
    x = 1,529,757.04

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.