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Finding the Third Proportional to 2,828,420 and 4,378,689.50

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Solution

The third proportional to 2,828,420 and 4,378,689.50 is: 6,778,668.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828,420 : 4,378,689.50 = 4,378,689.50 : x
  2. Step 2: Convert to fraction form
    2,828,420/4,378,689.50 = 4,378,689.50/x
  3. Step 3: Cross multiply
    2,828,420x = 4,378,689.50 × 4,378,689.50
  4. Step 4: Simplify right side
    2,828,420x = 19,172,921,737,410.25
  5. Step 5: Solve for x
    x = 19,172,921,737,410.25/2,828,420
  6. Step 6: Final answer
    x = 6,778,668.56

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.