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Finding the Third Proportional to 932,967 and 2,034,783

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Solution

The third proportional to 932,967 and 2,034,783 is: 4,437,822.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,967 : 2,034,783 = 2,034,783 : x
  2. Step 2: Convert to fraction form
    932,967/2,034,783 = 2,034,783/x
  3. Step 3: Cross multiply
    932,967x = 2,034,783 × 2,034,783
  4. Step 4: Simplify right side
    932,967x = 4,140,341,857,089
  5. Step 5: Solve for x
    x = 4,140,341,857,089/932,967
  6. Step 6: Final answer
    x = 4,437,822.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.