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Finding the Third Proportional to 1,700,826 and 3,700,582.50

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Solution

The third proportional to 1,700,826 and 3,700,582.50 is: 8,051,564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700,826 : 3,700,582.50 = 3,700,582.50 : x
  2. Step 2: Convert to fraction form
    1,700,826/3,700,582.50 = 3,700,582.50/x
  3. Step 3: Cross multiply
    1,700,826x = 3,700,582.50 × 3,700,582.50
  4. Step 4: Simplify right side
    1,700,826x = 13,694,310,839,306.25
  5. Step 5: Solve for x
    x = 13,694,310,839,306.25/1,700,826
  6. Step 6: Final answer
    x = 8,051,564.85

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Why These Related Problems?

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