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Finding the Third Proportional to 594,147 and 1,282,989

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Solution

The third proportional to 594,147 and 1,282,989 is: 2,770,460.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,147 : 1,282,989 = 1,282,989 : x
  2. Step 2: Convert to fraction form
    594,147/1,282,989 = 1,282,989/x
  3. Step 3: Cross multiply
    594,147x = 1,282,989 × 1,282,989
  4. Step 4: Simplify right side
    594,147x = 1,646,060,774,121
  5. Step 5: Solve for x
    x = 1,646,060,774,121/594,147
  6. Step 6: Final answer
    x = 2,770,460.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.