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Finding the Third Proportional to 912,296 and 1,399,352

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Solution

The third proportional to 912,296 and 1,399,352 is: 2,146,437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,296 : 1,399,352 = 1,399,352 : x
  2. Step 2: Convert to fraction form
    912,296/1,399,352 = 1,399,352/x
  3. Step 3: Cross multiply
    912,296x = 1,399,352 × 1,399,352
  4. Step 4: Simplify right side
    912,296x = 1,958,186,019,904
  5. Step 5: Solve for x
    x = 1,958,186,019,904/912,296
  6. Step 6: Final answer
    x = 2,146,437.14

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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.