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Finding the Third Proportional to 980,160 and 2,110,575

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Solution

The third proportional to 980,160 and 2,110,575 is: 4,544,693.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,160 : 2,110,575 = 2,110,575 : x
  2. Step 2: Convert to fraction form
    980,160/2,110,575 = 2,110,575/x
  3. Step 3: Cross multiply
    980,160x = 2,110,575 × 2,110,575
  4. Step 4: Simplify right side
    980,160x = 4,454,526,830,625
  5. Step 5: Solve for x
    x = 4,454,526,830,625/980,160
  6. Step 6: Final answer
    x = 4,544,693.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.