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Finding the Third Proportional to 696,388 and 1,523,984

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Solution

The third proportional to 696,388 and 1,523,984 is: 3,335,105.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,388 : 1,523,984 = 1,523,984 : x
  2. Step 2: Convert to fraction form
    696,388/1,523,984 = 1,523,984/x
  3. Step 3: Cross multiply
    696,388x = 1,523,984 × 1,523,984
  4. Step 4: Simplify right side
    696,388x = 2,322,527,232,256
  5. Step 5: Solve for x
    x = 2,322,527,232,256/696,388
  6. Step 6: Final answer
    x = 3,335,105.19

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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.