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Finding the Third Proportional to 706,637 and 1,570,005

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Solution

The third proportional to 706,637 and 1,570,005 is: 3,488,234.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,637 : 1,570,005 = 1,570,005 : x
  2. Step 2: Convert to fraction form
    706,637/1,570,005 = 1,570,005/x
  3. Step 3: Cross multiply
    706,637x = 1,570,005 × 1,570,005
  4. Step 4: Simplify right side
    706,637x = 2,464,915,700,025
  5. Step 5: Solve for x
    x = 2,464,915,700,025/706,637
  6. Step 6: Final answer
    x = 3,488,234.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.