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Finding the Third Proportional to 2,371,464 and 5,192,640

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Solution

The third proportional to 2,371,464 and 5,192,640 is: 11,369,985.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371,464 : 5,192,640 = 5,192,640 : x
  2. Step 2: Convert to fraction form
    2,371,464/5,192,640 = 5,192,640/x
  3. Step 3: Cross multiply
    2,371,464x = 5,192,640 × 5,192,640
  4. Step 4: Simplify right side
    2,371,464x = 26,963,510,169,600
  5. Step 5: Solve for x
    x = 26,963,510,169,600/2,371,464
  6. Step 6: Final answer
    x = 11,369,985.03

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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.