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Finding the Third Proportional to 2,123,368 and 4,619,964

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Solution

The third proportional to 2,123,368 and 4,619,964 is: 10,051,986.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123,368 : 4,619,964 = 4,619,964 : x
  2. Step 2: Convert to fraction form
    2,123,368/4,619,964 = 4,619,964/x
  3. Step 3: Cross multiply
    2,123,368x = 4,619,964 × 4,619,964
  4. Step 4: Simplify right side
    2,123,368x = 21,344,067,361,296
  5. Step 5: Solve for x
    x = 21,344,067,361,296/2,123,368
  6. Step 6: Final answer
    x = 10,051,986.92

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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.