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Finding the Third Proportional to 689,952 and 1,097,136

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Solution

The third proportional to 689,952 and 1,097,136 is: 1,744,624.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,952 : 1,097,136 = 1,097,136 : x
  2. Step 2: Convert to fraction form
    689,952/1,097,136 = 1,097,136/x
  3. Step 3: Cross multiply
    689,952x = 1,097,136 × 1,097,136
  4. Step 4: Simplify right side
    689,952x = 1,203,707,402,496
  5. Step 5: Solve for x
    x = 1,203,707,402,496/689,952
  6. Step 6: Final answer
    x = 1,744,624.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.