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Finding the Third Proportional to 934,910 and 2,046,724

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Solution

The third proportional to 934,910 and 2,046,724 is: 4,480,729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,910 : 2,046,724 = 2,046,724 : x
  2. Step 2: Convert to fraction form
    934,910/2,046,724 = 2,046,724/x
  3. Step 3: Cross multiply
    934,910x = 2,046,724 × 2,046,724
  4. Step 4: Simplify right side
    934,910x = 4,189,079,132,176
  5. Step 5: Solve for x
    x = 4,189,079,132,176/934,910
  6. Step 6: Final answer
    x = 4,480,729.84

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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.