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Finding the Third Proportional to 696,824 and 1,526,510

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Solution

The third proportional to 696,824 and 1,526,510 is: 3,344,076.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,824 : 1,526,510 = 1,526,510 : x
  2. Step 2: Convert to fraction form
    696,824/1,526,510 = 1,526,510/x
  3. Step 3: Cross multiply
    696,824x = 1,526,510 × 1,526,510
  4. Step 4: Simplify right side
    696,824x = 2,330,232,780,100
  5. Step 5: Solve for x
    x = 2,330,232,780,100/696,824
  6. Step 6: Final answer
    x = 3,344,076.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.