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Finding the Third Proportional to 1,010,657.25 and 2,191,287.94

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Solution

The third proportional to 1,010,657.25 and 2,191,287.94 is: 4,751,109.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,657.25 : 2,191,287.94 = 2,191,287.94 : x
  2. Step 2: Convert to fraction form
    1,010,657.25/2,191,287.94 = 2,191,287.94/x
  3. Step 3: Cross multiply
    1,010,657.25x = 2,191,287.94 × 2,191,287.94
  4. Step 4: Simplify right side
    1,010,657.25x = 4,801,742,825,033.00
  5. Step 5: Solve for x
    x = 4,801,742,825,033.00/1,010,657.25
  6. Step 6: Final answer
    x = 4,751,109.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.