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Finding the Third Proportional to 1,696,383 and 3,638,439

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Solution

The third proportional to 1,696,383 and 3,638,439 is: 7,803,802.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696,383 : 3,638,439 = 3,638,439 : x
  2. Step 2: Convert to fraction form
    1,696,383/3,638,439 = 3,638,439/x
  3. Step 3: Cross multiply
    1,696,383x = 3,638,439 × 3,638,439
  4. Step 4: Simplify right side
    1,696,383x = 13,238,238,356,721
  5. Step 5: Solve for x
    x = 13,238,238,356,721/1,696,383
  6. Step 6: Final answer
    x = 7,803,802.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.