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Finding the Third Proportional to 476,416.69 and 1,017,425.81

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Solution

The third proportional to 476,416.69 and 1,017,425.81 is: 2,172,793.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,416.69 : 1,017,425.81 = 1,017,425.81 : x
  2. Step 2: Convert to fraction form
    476,416.69/1,017,425.81 = 1,017,425.81/x
  3. Step 3: Cross multiply
    476,416.69x = 1,017,425.81 × 1,017,425.81
  4. Step 4: Simplify right side
    476,416.69x = 1,035,155,283,941.29
  5. Step 5: Solve for x
    x = 1,035,155,283,941.29/476,416.69
  6. Step 6: Final answer
    x = 2,172,793.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.