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Finding the Third Proportional to 705,904.88 and 1,090,742.63

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Solution

The third proportional to 705,904.88 and 1,090,742.63 is: 1,685,382.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,904.88 : 1,090,742.63 = 1,090,742.63 : x
  2. Step 2: Convert to fraction form
    705,904.88/1,090,742.63 = 1,090,742.63/x
  3. Step 3: Cross multiply
    705,904.88x = 1,090,742.63 × 1,090,742.63
  4. Step 4: Simplify right side
    705,904.88x = 1,189,719,473,991.89
  5. Step 5: Solve for x
    x = 1,189,719,473,991.89/705,904.88
  6. Step 6: Final answer
    x = 1,685,382.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.