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Finding the Third Proportional to 692,059 and 1,487,582

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Solution

The third proportional to 692,059 and 1,487,582 is: 3,197,560.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,059 : 1,487,582 = 1,487,582 : x
  2. Step 2: Convert to fraction form
    692,059/1,487,582 = 1,487,582/x
  3. Step 3: Cross multiply
    692,059x = 1,487,582 × 1,487,582
  4. Step 4: Simplify right side
    692,059x = 2,212,900,206,724
  5. Step 5: Solve for x
    x = 2,212,900,206,724/692,059
  6. Step 6: Final answer
    x = 3,197,560.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.