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Finding the Third Proportional to 2,765,684.25 and 4,328,969.06

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Solution

The third proportional to 2,765,684.25 and 4,328,969.06 is: 6,775,890.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765,684.25 : 4,328,969.06 = 4,328,969.06 : x
  2. Step 2: Convert to fraction form
    2,765,684.25/4,328,969.06 = 4,328,969.06/x
  3. Step 3: Cross multiply
    2,765,684.25x = 4,328,969.06 × 4,328,969.06
  4. Step 4: Simplify right side
    2,765,684.25x = 18,739,973,144,082.13
  5. Step 5: Solve for x
    x = 18,739,973,144,082.13/2,765,684.25
  6. Step 6: Final answer
    x = 6,775,890.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.