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Finding the Third Proportional to 2,045,015 and 4,428,511

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Solution

The third proportional to 2,045,015 and 4,428,511 is: 9,590,007.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045,015 : 4,428,511 = 4,428,511 : x
  2. Step 2: Convert to fraction form
    2,045,015/4,428,511 = 4,428,511/x
  3. Step 3: Cross multiply
    2,045,015x = 4,428,511 × 4,428,511
  4. Step 4: Simplify right side
    2,045,015x = 19,611,709,677,121
  5. Step 5: Solve for x
    x = 19,611,709,677,121/2,045,015
  6. Step 6: Final answer
    x = 9,590,007.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.