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Finding the Third Proportional to 676,444 and 1,408,860.50

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Solution

The third proportional to 676,444 and 1,408,860.50 is: 2,934,297.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,444 : 1,408,860.50 = 1,408,860.50 : x
  2. Step 2: Convert to fraction form
    676,444/1,408,860.50 = 1,408,860.50/x
  3. Step 3: Cross multiply
    676,444x = 1,408,860.50 × 1,408,860.50
  4. Step 4: Simplify right side
    676,444x = 1,984,887,908,460.25
  5. Step 5: Solve for x
    x = 1,984,887,908,460.25/676,444
  6. Step 6: Final answer
    x = 2,934,297.46

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.