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Finding the Third Proportional to 668,415 and 1,097,266.50

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Solution

The third proportional to 668,415 and 1,097,266.50 is: 1,801,266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,415 : 1,097,266.50 = 1,097,266.50 : x
  2. Step 2: Convert to fraction form
    668,415/1,097,266.50 = 1,097,266.50/x
  3. Step 3: Cross multiply
    668,415x = 1,097,266.50 × 1,097,266.50
  4. Step 4: Simplify right side
    668,415x = 1,203,993,772,022.25
  5. Step 5: Solve for x
    x = 1,203,993,772,022.25/668,415
  6. Step 6: Final answer
    x = 1,801,266.84

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.