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Finding the Third Proportional to 1,187,267.63 and 2,458,491.75

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Solution

The third proportional to 1,187,267.63 and 2,458,491.75 is: 5,090,833.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187,267.63 : 2,458,491.75 = 2,458,491.75 : x
  2. Step 2: Convert to fraction form
    1,187,267.63/2,458,491.75 = 2,458,491.75/x
  3. Step 3: Cross multiply
    1,187,267.63x = 2,458,491.75 × 2,458,491.75
  4. Step 4: Simplify right side
    1,187,267.63x = 6,044,181,684,818.06
  5. Step 5: Solve for x
    x = 6,044,181,684,818.06/1,187,267.63
  6. Step 6: Final answer
    x = 5,090,833.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.