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Finding the Third Proportional to 1,264,053.70 and 2,785,783.62

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Solution

The third proportional to 1,264,053.70 and 2,785,783.62 is: 6,139,446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264,053.70 : 2,785,783.62 = 2,785,783.62 : x
  2. Step 2: Convert to fraction form
    1,264,053.70/2,785,783.62 = 2,785,783.62/x
  3. Step 3: Cross multiply
    1,264,053.70x = 2,785,783.62 × 2,785,783.62
  4. Step 4: Simplify right side
    1,264,053.70x = 7,760,590,382,193.35
  5. Step 5: Solve for x
    x = 7,760,590,382,193.35/1,264,053.70
  6. Step 6: Final answer
    x = 6,139,446.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.