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Finding the Third Proportional to 1,548,055.13 and 3,497,446.69

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Solution

The third proportional to 1,548,055.13 and 3,497,446.69 is: 7,901,613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548,055.13 : 3,497,446.69 = 3,497,446.69 : x
  2. Step 2: Convert to fraction form
    1,548,055.13/3,497,446.69 = 3,497,446.69/x
  3. Step 3: Cross multiply
    1,548,055.13x = 3,497,446.69 × 3,497,446.69
  4. Step 4: Simplify right side
    1,548,055.13x = 12,232,133,331,904.72
  5. Step 5: Solve for x
    x = 12,232,133,331,904.72/1,548,055.13
  6. Step 6: Final answer
    x = 7,901,613.54

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.