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Finding the Third Proportional to 980,544 and 2,118,643.50

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Solution

The third proportional to 980,544 and 2,118,643.50 is: 4,577,714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,544 : 2,118,643.50 = 2,118,643.50 : x
  2. Step 2: Convert to fraction form
    980,544/2,118,643.50 = 2,118,643.50/x
  3. Step 3: Cross multiply
    980,544x = 2,118,643.50 × 2,118,643.50
  4. Step 4: Simplify right side
    980,544x = 4,488,650,280,092.25
  5. Step 5: Solve for x
    x = 4,488,650,280,092.25/980,544
  6. Step 6: Final answer
    x = 4,577,714.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.