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Finding the Third Proportional to 996,712 and 1,506,958

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Solution

The third proportional to 996,712 and 1,506,958 is: 2,278,413.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,712 : 1,506,958 = 1,506,958 : x
  2. Step 2: Convert to fraction form
    996,712/1,506,958 = 1,506,958/x
  3. Step 3: Cross multiply
    996,712x = 1,506,958 × 1,506,958
  4. Step 4: Simplify right side
    996,712x = 2,270,922,413,764
  5. Step 5: Solve for x
    x = 2,270,922,413,764/996,712
  6. Step 6: Final answer
    x = 2,278,413.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.