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Finding the Third Proportional to 697,443.38 and 1,478,585.63

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Solution

The third proportional to 697,443.38 and 1,478,585.63 is: 3,134,613.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,443.38 : 1,478,585.63 = 1,478,585.63 : x
  2. Step 2: Convert to fraction form
    697,443.38/1,478,585.63 = 1,478,585.63/x
  3. Step 3: Cross multiply
    697,443.38x = 1,478,585.63 × 1,478,585.63
  4. Step 4: Simplify right side
    697,443.38x = 2,186,215,450,456.64
  5. Step 5: Solve for x
    x = 2,186,215,450,456.64/697,443.38
  6. Step 6: Final answer
    x = 3,134,613.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.