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Finding the Third Proportional to 913,434 and 1,277,032

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Solution

The third proportional to 913,434 and 1,277,032 is: 1,785,362.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,434 : 1,277,032 = 1,277,032 : x
  2. Step 2: Convert to fraction form
    913,434/1,277,032 = 1,277,032/x
  3. Step 3: Cross multiply
    913,434x = 1,277,032 × 1,277,032
  4. Step 4: Simplify right side
    913,434x = 1,630,810,729,024
  5. Step 5: Solve for x
    x = 1,630,810,729,024/913,434
  6. Step 6: Final answer
    x = 1,785,362.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.