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Finding the Third Proportional to 646,496 and 1,371,796

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Solution

The third proportional to 646,496 and 1,371,796 is: 2,910,805.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,496 : 1,371,796 = 1,371,796 : x
  2. Step 2: Convert to fraction form
    646,496/1,371,796 = 1,371,796/x
  3. Step 3: Cross multiply
    646,496x = 1,371,796 × 1,371,796
  4. Step 4: Simplify right side
    646,496x = 1,881,824,265,616
  5. Step 5: Solve for x
    x = 1,881,824,265,616/646,496
  6. Step 6: Final answer
    x = 2,910,805.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.