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Finding the Third Proportional to 1,103,332.22 and 2,380,838.06

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Solution

The third proportional to 1,103,332.22 and 2,380,838.06 is: 5,137,518.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103,332.22 : 2,380,838.06 = 2,380,838.06 : x
  2. Step 2: Convert to fraction form
    1,103,332.22/2,380,838.06 = 2,380,838.06/x
  3. Step 3: Cross multiply
    1,103,332.22x = 2,380,838.06 × 2,380,838.06
  4. Step 4: Simplify right side
    1,103,332.22x = 5,668,389,879,848.75
  5. Step 5: Solve for x
    x = 5,668,389,879,848.75/1,103,332.22
  6. Step 6: Final answer
    x = 5,137,518.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.