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Finding the Third Proportional to 699,678.50 and 1,496,624

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Solution

The third proportional to 699,678.50 and 1,496,624 is: 3,201,303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,678.50 : 1,496,624 = 1,496,624 : x
  2. Step 2: Convert to fraction form
    699,678.50/1,496,624 = 1,496,624/x
  3. Step 3: Cross multiply
    699,678.50x = 1,496,624 × 1,496,624
  4. Step 4: Simplify right side
    699,678.50x = 2,239,883,397,376
  5. Step 5: Solve for x
    x = 2,239,883,397,376/699,678.50
  6. Step 6: Final answer
    x = 3,201,303.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.