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Finding the Third Proportional to 2,186,784 and 4,794,696

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Solution

The third proportional to 2,186,784 and 4,794,696 is: 10,512,748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186,784 : 4,794,696 = 4,794,696 : x
  2. Step 2: Convert to fraction form
    2,186,784/4,794,696 = 4,794,696/x
  3. Step 3: Cross multiply
    2,186,784x = 4,794,696 × 4,794,696
  4. Step 4: Simplify right side
    2,186,784x = 22,989,109,732,416
  5. Step 5: Solve for x
    x = 22,989,109,732,416/2,186,784
  6. Step 6: Final answer
    x = 10,512,748.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.