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Finding the Third Proportional to 913,728 and 1,963,536

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Solution

The third proportional to 913,728 and 1,963,536 is: 4,219,498.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,728 : 1,963,536 = 1,963,536 : x
  2. Step 2: Convert to fraction form
    913,728/1,963,536 = 1,963,536/x
  3. Step 3: Cross multiply
    913,728x = 1,963,536 × 1,963,536
  4. Step 4: Simplify right side
    913,728x = 3,855,473,623,296
  5. Step 5: Solve for x
    x = 3,855,473,623,296/913,728
  6. Step 6: Final answer
    x = 4,219,498.17

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.