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Finding the Third Proportional to 1,091,530.69 and 2,296,167.75

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Solution

The third proportional to 1,091,530.69 and 2,296,167.75 is: 4,830,268.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091,530.69 : 2,296,167.75 = 2,296,167.75 : x
  2. Step 2: Convert to fraction form
    1,091,530.69/2,296,167.75 = 2,296,167.75/x
  3. Step 3: Cross multiply
    1,091,530.69x = 2,296,167.75 × 2,296,167.75
  4. Step 4: Simplify right side
    1,091,530.69x = 5,272,386,336,140.06
  5. Step 5: Solve for x
    x = 5,272,386,336,140.06/1,091,530.69
  6. Step 6: Final answer
    x = 4,830,268.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.