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Finding the Third Proportional to 980,232 and 1,499,178

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Solution

The third proportional to 980,232 and 1,499,178 is: 2,292,859.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,232 : 1,499,178 = 1,499,178 : x
  2. Step 2: Convert to fraction form
    980,232/1,499,178 = 1,499,178/x
  3. Step 3: Cross multiply
    980,232x = 1,499,178 × 1,499,178
  4. Step 4: Simplify right side
    980,232x = 2,247,534,675,684
  5. Step 5: Solve for x
    x = 2,247,534,675,684/980,232
  6. Step 6: Final answer
    x = 2,292,859.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.