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Finding the Third Proportional to 640,392 and 1,004,538

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Solution

The third proportional to 640,392 and 1,004,538 is: 1,575,748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,392 : 1,004,538 = 1,004,538 : x
  2. Step 2: Convert to fraction form
    640,392/1,004,538 = 1,004,538/x
  3. Step 3: Cross multiply
    640,392x = 1,004,538 × 1,004,538
  4. Step 4: Simplify right side
    640,392x = 1,009,096,593,444
  5. Step 5: Solve for x
    x = 1,009,096,593,444/640,392
  6. Step 6: Final answer
    x = 1,575,748.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.