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Finding the Third Proportional to 1,306,460.39 and 2,813,133.80

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Solution

The third proportional to 1,306,460.39 and 2,813,133.80 is: 6,057,375.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,460.39 : 2,813,133.80 = 2,813,133.80 : x
  2. Step 2: Convert to fraction form
    1,306,460.39/2,813,133.80 = 2,813,133.80/x
  3. Step 3: Cross multiply
    1,306,460.39x = 2,813,133.80 × 2,813,133.80
  4. Step 4: Simplify right side
    1,306,460.39x = 7,913,721,759,120.35
  5. Step 5: Solve for x
    x = 7,913,721,759,120.35/1,306,460.39
  6. Step 6: Final answer
    x = 6,057,375.96

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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.