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Finding the Third Proportional to 2,746,903.50 and 4,202,004

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Solution

The third proportional to 2,746,903.50 and 4,202,004 is: 6,427,906.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746,903.50 : 4,202,004 = 4,202,004 : x
  2. Step 2: Convert to fraction form
    2,746,903.50/4,202,004 = 4,202,004/x
  3. Step 3: Cross multiply
    2,746,903.50x = 4,202,004 × 4,202,004
  4. Step 4: Simplify right side
    2,746,903.50x = 17,656,837,616,016
  5. Step 5: Solve for x
    x = 17,656,837,616,016/2,746,903.50
  6. Step 6: Final answer
    x = 6,427,906.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.