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Finding the Third Proportional to 668,298 and 1,440,924

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Solution

The third proportional to 668,298 and 1,440,924 is: 3,106,790.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,298 : 1,440,924 = 1,440,924 : x
  2. Step 2: Convert to fraction form
    668,298/1,440,924 = 1,440,924/x
  3. Step 3: Cross multiply
    668,298x = 1,440,924 × 1,440,924
  4. Step 4: Simplify right side
    668,298x = 2,076,261,973,776
  5. Step 5: Solve for x
    x = 2,076,261,973,776/668,298
  6. Step 6: Final answer
    x = 3,106,790.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.