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Finding the Third Proportional to 2,091,747 and 4,418,502

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Solution

The third proportional to 2,091,747 and 4,418,502 is: 9,333,423.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091,747 : 4,418,502 = 4,418,502 : x
  2. Step 2: Convert to fraction form
    2,091,747/4,418,502 = 4,418,502/x
  3. Step 3: Cross multiply
    2,091,747x = 4,418,502 × 4,418,502
  4. Step 4: Simplify right side
    2,091,747x = 19,523,159,924,004
  5. Step 5: Solve for x
    x = 19,523,159,924,004/2,091,747
  6. Step 6: Final answer
    x = 9,333,423.17

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.