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Finding the Third Proportional to 937,969 and 2,020,617

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Solution

The third proportional to 937,969 and 2,020,617 is: 4,352,908.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    937,969 : 2,020,617 = 2,020,617 : x
  2. Step 2: Convert to fraction form
    937,969/2,020,617 = 2,020,617/x
  3. Step 3: Cross multiply
    937,969x = 2,020,617 × 2,020,617
  4. Step 4: Simplify right side
    937,969x = 4,082,893,060,689
  5. Step 5: Solve for x
    x = 4,082,893,060,689/937,969
  6. Step 6: Final answer
    x = 4,352,908.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.