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Finding the Third Proportional to 1,684,126.69 and 3,817,963.79

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Solution

The third proportional to 1,684,126.69 and 3,817,963.79 is: 8,655,434.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,126.69 : 3,817,963.79 = 3,817,963.79 : x
  2. Step 2: Convert to fraction form
    1,684,126.69/3,817,963.79 = 3,817,963.79/x
  3. Step 3: Cross multiply
    1,684,126.69x = 3,817,963.79 × 3,817,963.79
  4. Step 4: Simplify right side
    1,684,126.69x = 14,576,847,524,420.71
  5. Step 5: Solve for x
    x = 14,576,847,524,420.71/1,684,126.69
  6. Step 6: Final answer
    x = 8,655,434.08

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.