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Finding the Third Proportional to 1,357,584.05 and 2,012,894.30

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Solution

The third proportional to 1,357,584.05 and 2,012,894.30 is: 2,984,524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357,584.05 : 2,012,894.30 = 2,012,894.30 : x
  2. Step 2: Convert to fraction form
    1,357,584.05/2,012,894.30 = 2,012,894.30/x
  3. Step 3: Cross multiply
    1,357,584.05x = 2,012,894.30 × 2,012,894.30
  4. Step 4: Simplify right side
    1,357,584.05x = 4,051,743,450,391.90
  5. Step 5: Solve for x
    x = 4,051,743,450,391.90/1,357,584.05
  6. Step 6: Final answer
    x = 2,984,524.94

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.