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Finding the Third Proportional to 934,957.69 and 2,019,421.13

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Solution

The third proportional to 934,957.69 and 2,019,421.13 is: 4,361,760.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,957.69 : 2,019,421.13 = 2,019,421.13 : x
  2. Step 2: Convert to fraction form
    934,957.69/2,019,421.13 = 2,019,421.13/x
  3. Step 3: Cross multiply
    934,957.69x = 2,019,421.13 × 2,019,421.13
  4. Step 4: Simplify right side
    934,957.69x = 4,078,061,680,096.27
  5. Step 5: Solve for x
    x = 4,078,061,680,096.27/934,957.69
  6. Step 6: Final answer
    x = 4,361,760.68

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Why These Related Problems?

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