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Finding the Third Proportional to 712,809 and 1,476,143.44

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Solution

The third proportional to 712,809 and 1,476,143.44 is: 3,056,919.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,809 : 1,476,143.44 = 1,476,143.44 : x
  2. Step 2: Convert to fraction form
    712,809/1,476,143.44 = 1,476,143.44/x
  3. Step 3: Cross multiply
    712,809x = 1,476,143.44 × 1,476,143.44
  4. Step 4: Simplify right side
    712,809x = 2,178,999,448,074.32
  5. Step 5: Solve for x
    x = 2,178,999,448,074.32/712,809
  6. Step 6: Final answer
    x = 3,056,919.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.