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Finding the Third Proportional to 608,598 and 1,301,624

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Solution

The third proportional to 608,598 and 1,301,624 is: 2,783,816.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,598 : 1,301,624 = 1,301,624 : x
  2. Step 2: Convert to fraction form
    608,598/1,301,624 = 1,301,624/x
  3. Step 3: Cross multiply
    608,598x = 1,301,624 × 1,301,624
  4. Step 4: Simplify right side
    608,598x = 1,694,225,037,376
  5. Step 5: Solve for x
    x = 1,694,225,037,376/608,598
  6. Step 6: Final answer
    x = 2,783,816.31

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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.