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Finding the Third Proportional to 599,261.63 and 1,287,460.13

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Solution

The third proportional to 599,261.63 and 1,287,460.13 is: 2,765,993.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,261.63 : 1,287,460.13 = 1,287,460.13 : x
  2. Step 2: Convert to fraction form
    599,261.63/1,287,460.13 = 1,287,460.13/x
  3. Step 3: Cross multiply
    599,261.63x = 1,287,460.13 × 1,287,460.13
  4. Step 4: Simplify right side
    599,261.63x = 1,657,553,573,465.02
  5. Step 5: Solve for x
    x = 1,657,553,573,465.02/599,261.63
  6. Step 6: Final answer
    x = 2,765,993.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.