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Finding the Third Proportional to 599,480 and 1,254,382

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Solution

The third proportional to 599,480 and 1,254,382 is: 2,624,731.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,480 : 1,254,382 = 1,254,382 : x
  2. Step 2: Convert to fraction form
    599,480/1,254,382 = 1,254,382/x
  3. Step 3: Cross multiply
    599,480x = 1,254,382 × 1,254,382
  4. Step 4: Simplify right side
    599,480x = 1,573,474,201,924
  5. Step 5: Solve for x
    x = 1,573,474,201,924/599,480
  6. Step 6: Final answer
    x = 2,624,731.77

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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.