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Finding the Third Proportional to 1,302,209.89 and 2,804,427.14

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Solution

The third proportional to 1,302,209.89 and 2,804,427.14 is: 6,039,588.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,209.89 : 2,804,427.14 = 2,804,427.14 : x
  2. Step 2: Convert to fraction form
    1,302,209.89/2,804,427.14 = 2,804,427.14/x
  3. Step 3: Cross multiply
    1,302,209.89x = 2,804,427.14 × 2,804,427.14
  4. Step 4: Simplify right side
    1,302,209.89x = 7,864,811,587,074.11
  5. Step 5: Solve for x
    x = 7,864,811,587,074.11/1,302,209.89
  6. Step 6: Final answer
    x = 6,039,588.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.