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Finding the Third Proportional to 1,285,895.81 and 2,765,341.13

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Solution

The third proportional to 1,285,895.81 and 2,765,341.13 is: 5,946,913.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,895.81 : 2,765,341.13 = 2,765,341.13 : x
  2. Step 2: Convert to fraction form
    1,285,895.81/2,765,341.13 = 2,765,341.13/x
  3. Step 3: Cross multiply
    1,285,895.81x = 2,765,341.13 × 2,765,341.13
  4. Step 4: Simplify right side
    1,285,895.81x = 7,647,111,537,616.27
  5. Step 5: Solve for x
    x = 7,647,111,537,616.27/1,285,895.81
  6. Step 6: Final answer
    x = 5,946,913.79

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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.