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Finding the Third Proportional to 683,042.63 and 1,486,478.25

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Solution

The third proportional to 683,042.63 and 1,486,478.25 is: 3,234,962.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,042.63 : 1,486,478.25 = 1,486,478.25 : x
  2. Step 2: Convert to fraction form
    683,042.63/1,486,478.25 = 1,486,478.25/x
  3. Step 3: Cross multiply
    683,042.63x = 1,486,478.25 × 1,486,478.25
  4. Step 4: Simplify right side
    683,042.63x = 2,209,617,587,723.06
  5. Step 5: Solve for x
    x = 2,209,617,587,723.06/683,042.63
  6. Step 6: Final answer
    x = 3,234,962.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.