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Finding the Third Proportional to 599,502 and 1,254,432

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Solution

The third proportional to 599,502 and 1,254,432 is: 2,624,844.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,502 : 1,254,432 = 1,254,432 : x
  2. Step 2: Convert to fraction form
    599,502/1,254,432 = 1,254,432/x
  3. Step 3: Cross multiply
    599,502x = 1,254,432 × 1,254,432
  4. Step 4: Simplify right side
    599,502x = 1,573,599,642,624
  5. Step 5: Solve for x
    x = 1,573,599,642,624/599,502
  6. Step 6: Final answer
    x = 2,624,844.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.