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Finding the Third Proportional to 586,495.69 and 1,285,080.19

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Solution

The third proportional to 586,495.69 and 1,285,080.19 is: 2,815,759.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,495.69 : 1,285,080.19 = 1,285,080.19 : x
  2. Step 2: Convert to fraction form
    586,495.69/1,285,080.19 = 1,285,080.19/x
  3. Step 3: Cross multiply
    586,495.69x = 1,285,080.19 × 1,285,080.19
  4. Step 4: Simplify right side
    586,495.69x = 1,651,431,088,305.04
  5. Step 5: Solve for x
    x = 1,651,431,088,305.04/586,495.69
  6. Step 6: Final answer
    x = 2,815,759.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.