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Finding the Third Proportional to 698,421 and 1,534,008

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Solution

The third proportional to 698,421 and 1,534,008 is: 3,369,286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,421 : 1,534,008 = 1,534,008 : x
  2. Step 2: Convert to fraction form
    698,421/1,534,008 = 1,534,008/x
  3. Step 3: Cross multiply
    698,421x = 1,534,008 × 1,534,008
  4. Step 4: Simplify right side
    698,421x = 2,353,180,544,064
  5. Step 5: Solve for x
    x = 2,353,180,544,064/698,421
  6. Step 6: Final answer
    x = 3,369,286.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.