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Finding the Third Proportional to 1,263,290.63 and 2,739,397.50

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Solution

The third proportional to 1,263,290.63 and 2,739,397.50 is: 5,940,278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,290.63 : 2,739,397.50 = 2,739,397.50 : x
  2. Step 2: Convert to fraction form
    1,263,290.63/2,739,397.50 = 2,739,397.50/x
  3. Step 3: Cross multiply
    1,263,290.63x = 2,739,397.50 × 2,739,397.50
  4. Step 4: Simplify right side
    1,263,290.63x = 7,504,298,663,006.25
  5. Step 5: Solve for x
    x = 7,504,298,663,006.25/1,263,290.63
  6. Step 6: Final answer
    x = 5,940,278.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.