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Finding the Third Proportional to 2,046,286.13 and 4,455,860.63

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Solution

The third proportional to 2,046,286.13 and 4,455,860.63 is: 9,702,794.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046,286.13 : 4,455,860.63 = 4,455,860.63 : x
  2. Step 2: Convert to fraction form
    2,046,286.13/4,455,860.63 = 4,455,860.63/x
  3. Step 3: Cross multiply
    2,046,286.13x = 4,455,860.63 × 4,455,860.63
  4. Step 4: Simplify right side
    2,046,286.13x = 19,854,693,909,425.39
  5. Step 5: Solve for x
    x = 19,854,693,909,425.39/2,046,286.13
  6. Step 6: Final answer
    x = 9,702,794.57

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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.