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Finding the Third Proportional to 960,024 and 2,100,840

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Solution

The third proportional to 960,024 and 2,100,840 is: 4,597,310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,024 : 2,100,840 = 2,100,840 : x
  2. Step 2: Convert to fraction form
    960,024/2,100,840 = 2,100,840/x
  3. Step 3: Cross multiply
    960,024x = 2,100,840 × 2,100,840
  4. Step 4: Simplify right side
    960,024x = 4,413,528,705,600
  5. Step 5: Solve for x
    x = 4,413,528,705,600/960,024
  6. Step 6: Final answer
    x = 4,597,310.80

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Why These Related Problems?

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