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Finding the Third Proportional to 1,827,433.50 and 2,678,814

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Solution

The third proportional to 1,827,433.50 and 2,678,814 is: 3,926,843.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827,433.50 : 2,678,814 = 2,678,814 : x
  2. Step 2: Convert to fraction form
    1,827,433.50/2,678,814 = 2,678,814/x
  3. Step 3: Cross multiply
    1,827,433.50x = 2,678,814 × 2,678,814
  4. Step 4: Simplify right side
    1,827,433.50x = 7,176,044,446,596
  5. Step 5: Solve for x
    x = 7,176,044,446,596/1,827,433.50
  6. Step 6: Final answer
    x = 3,926,843.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.