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Finding the Third Proportional to 2,107,825.03 and 4,535,346.94

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Solution

The third proportional to 2,107,825.03 and 4,535,346.94 is: 9,758,576.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107,825.03 : 4,535,346.94 = 4,535,346.94 : x
  2. Step 2: Convert to fraction form
    2,107,825.03/4,535,346.94 = 4,535,346.94/x
  3. Step 3: Cross multiply
    2,107,825.03x = 4,535,346.94 × 4,535,346.94
  4. Step 4: Simplify right side
    2,107,825.03x = 20,569,371,843,490.63
  5. Step 5: Solve for x
    x = 20,569,371,843,490.63/2,107,825.03
  6. Step 6: Final answer
    x = 9,758,576.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.