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Finding the Third Proportional to 2,228,689.69 and 4,884,596.16

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Solution

The third proportional to 2,228,689.69 and 4,884,596.16 is: 10,705,518.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228,689.69 : 4,884,596.16 = 4,884,596.16 : x
  2. Step 2: Convert to fraction form
    2,228,689.69/4,884,596.16 = 4,884,596.16/x
  3. Step 3: Cross multiply
    2,228,689.69x = 4,884,596.16 × 4,884,596.16
  4. Step 4: Simplify right side
    2,228,689.69x = 23,859,279,609,652.27
  5. Step 5: Solve for x
    x = 23,859,279,609,652.27/2,228,689.69
  6. Step 6: Final answer
    x = 10,705,518.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.