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Finding the Third Proportional to 1,314,824 and 2,730,736

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Solution

The third proportional to 1,314,824 and 2,730,736 is: 5,671,419.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,824 : 2,730,736 = 2,730,736 : x
  2. Step 2: Convert to fraction form
    1,314,824/2,730,736 = 2,730,736/x
  3. Step 3: Cross multiply
    1,314,824x = 2,730,736 × 2,730,736
  4. Step 4: Simplify right side
    1,314,824x = 7,456,919,101,696
  5. Step 5: Solve for x
    x = 7,456,919,101,696/1,314,824
  6. Step 6: Final answer
    x = 5,671,419.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.