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Finding the Third Proportional to 2,032,663.50 and 4,013,919

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Solution

The third proportional to 2,032,663.50 and 4,013,919 is: 7,926,322.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032,663.50 : 4,013,919 = 4,013,919 : x
  2. Step 2: Convert to fraction form
    2,032,663.50/4,013,919 = 4,013,919/x
  3. Step 3: Cross multiply
    2,032,663.50x = 4,013,919 × 4,013,919
  4. Step 4: Simplify right side
    2,032,663.50x = 16,111,545,738,561
  5. Step 5: Solve for x
    x = 16,111,545,738,561/2,032,663.50
  6. Step 6: Final answer
    x = 7,926,322.16

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.