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Finding the Third Proportional to 966,762 and 1,493,883

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Solution

The third proportional to 966,762 and 1,493,883 is: 2,308,413.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,762 : 1,493,883 = 1,493,883 : x
  2. Step 2: Convert to fraction form
    966,762/1,493,883 = 1,493,883/x
  3. Step 3: Cross multiply
    966,762x = 1,493,883 × 1,493,883
  4. Step 4: Simplify right side
    966,762x = 2,231,686,417,689
  5. Step 5: Solve for x
    x = 2,231,686,417,689/966,762
  6. Step 6: Final answer
    x = 2,308,413.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.