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Finding the Third Proportional to 1,303,391.25 and 2,725,957.13

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Solution

The third proportional to 1,303,391.25 and 2,725,957.13 is: 5,701,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303,391.25 : 2,725,957.13 = 2,725,957.13 : x
  2. Step 2: Convert to fraction form
    1,303,391.25/2,725,957.13 = 2,725,957.13/x
  3. Step 3: Cross multiply
    1,303,391.25x = 2,725,957.13 × 2,725,957.13
  4. Step 4: Simplify right side
    1,303,391.25x = 7,430,842,247,338.27
  5. Step 5: Solve for x
    x = 7,430,842,247,338.27/1,303,391.25
  6. Step 6: Final answer
    x = 5,701,160.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.