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Finding the Third Proportional to 596,922 and 1,228,834.50

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Solution

The third proportional to 596,922 and 1,228,834.50 is: 2,529,701.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,922 : 1,228,834.50 = 1,228,834.50 : x
  2. Step 2: Convert to fraction form
    596,922/1,228,834.50 = 1,228,834.50/x
  3. Step 3: Cross multiply
    596,922x = 1,228,834.50 × 1,228,834.50
  4. Step 4: Simplify right side
    596,922x = 1,510,034,228,390.25
  5. Step 5: Solve for x
    x = 1,510,034,228,390.25/596,922
  6. Step 6: Final answer
    x = 2,529,701.08

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.