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Finding the Third Proportional to 640,824 and 1,512,724

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Solution

The third proportional to 640,824 and 1,512,724 is: 3,570,924.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,824 : 1,512,724 = 1,512,724 : x
  2. Step 2: Convert to fraction form
    640,824/1,512,724 = 1,512,724/x
  3. Step 3: Cross multiply
    640,824x = 1,512,724 × 1,512,724
  4. Step 4: Simplify right side
    640,824x = 2,288,333,900,176
  5. Step 5: Solve for x
    x = 2,288,333,900,176/640,824
  6. Step 6: Final answer
    x = 3,570,924.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.