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Finding the Third Proportional to 1,526,824 and 3,316,736

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Solution

The third proportional to 1,526,824 and 3,316,736 is: 7,204,980.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526,824 : 3,316,736 = 3,316,736 : x
  2. Step 2: Convert to fraction form
    1,526,824/3,316,736 = 3,316,736/x
  3. Step 3: Cross multiply
    1,526,824x = 3,316,736 × 3,316,736
  4. Step 4: Simplify right side
    1,526,824x = 11,000,737,693,696
  5. Step 5: Solve for x
    x = 11,000,737,693,696/1,526,824
  6. Step 6: Final answer
    x = 7,204,980.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.