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Finding the Third Proportional to 1,830,784 and 3,987,038

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Solution

The third proportional to 1,830,784 and 3,987,038 is: 8,682,876.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830,784 : 3,987,038 = 3,987,038 : x
  2. Step 2: Convert to fraction form
    1,830,784/3,987,038 = 3,987,038/x
  3. Step 3: Cross multiply
    1,830,784x = 3,987,038 × 3,987,038
  4. Step 4: Simplify right side
    1,830,784x = 15,896,472,013,444
  5. Step 5: Solve for x
    x = 15,896,472,013,444/1,830,784
  6. Step 6: Final answer
    x = 8,682,876.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.