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Finding the Third Proportional to 916,316 and 1,393,914

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Solution

The third proportional to 916,316 and 1,393,914 is: 2,120,443.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,316 : 1,393,914 = 1,393,914 : x
  2. Step 2: Convert to fraction form
    916,316/1,393,914 = 1,393,914/x
  3. Step 3: Cross multiply
    916,316x = 1,393,914 × 1,393,914
  4. Step 4: Simplify right side
    916,316x = 1,942,996,239,396
  5. Step 5: Solve for x
    x = 1,942,996,239,396/916,316
  6. Step 6: Final answer
    x = 2,120,443.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.