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Finding the Third Proportional to 706,426 and 1,543,986

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Solution

The third proportional to 706,426 and 1,543,986 is: 3,374,582.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,426 : 1,543,986 = 1,543,986 : x
  2. Step 2: Convert to fraction form
    706,426/1,543,986 = 1,543,986/x
  3. Step 3: Cross multiply
    706,426x = 1,543,986 × 1,543,986
  4. Step 4: Simplify right side
    706,426x = 2,383,892,768,196
  5. Step 5: Solve for x
    x = 2,383,892,768,196/706,426
  6. Step 6: Final answer
    x = 3,374,582.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.