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Finding the Third Proportional to 2,243,604 and 4,865,736

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Solution

The third proportional to 2,243,604 and 4,865,736 is: 10,552,391.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243,604 : 4,865,736 = 4,865,736 : x
  2. Step 2: Convert to fraction form
    2,243,604/4,865,736 = 4,865,736/x
  3. Step 3: Cross multiply
    2,243,604x = 4,865,736 × 4,865,736
  4. Step 4: Simplify right side
    2,243,604x = 23,675,386,821,696
  5. Step 5: Solve for x
    x = 23,675,386,821,696/2,243,604
  6. Step 6: Final answer
    x = 10,552,391.07

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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.