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Finding the Third Proportional to 932,969 and 2,034,787

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Solution

The third proportional to 932,969 and 2,034,787 is: 4,437,830.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,969 : 2,034,787 = 2,034,787 : x
  2. Step 2: Convert to fraction form
    932,969/2,034,787 = 2,034,787/x
  3. Step 3: Cross multiply
    932,969x = 2,034,787 × 2,034,787
  4. Step 4: Simplify right side
    932,969x = 4,140,358,135,369
  5. Step 5: Solve for x
    x = 4,140,358,135,369/932,969
  6. Step 6: Final answer
    x = 4,437,830.34

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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.