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Finding the Third Proportional to 2,209,006.69 and 4,685,419.69

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Solution

The third proportional to 2,209,006.69 and 4,685,419.69 is: 9,938,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209,006.69 : 4,685,419.69 = 4,685,419.69 : x
  2. Step 2: Convert to fraction form
    2,209,006.69/4,685,419.69 = 4,685,419.69/x
  3. Step 3: Cross multiply
    2,209,006.69x = 4,685,419.69 × 4,685,419.69
  4. Step 4: Simplify right side
    2,209,006.69x = 21,953,157,648,012.60
  5. Step 5: Solve for x
    x = 21,953,157,648,012.60/2,209,006.69
  6. Step 6: Final answer
    x = 9,938,022.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.