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Finding the Third Proportional to 913,072 and 1,419,344

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Solution

The third proportional to 913,072 and 1,419,344 is: 2,206,329.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,072 : 1,419,344 = 1,419,344 : x
  2. Step 2: Convert to fraction form
    913,072/1,419,344 = 1,419,344/x
  3. Step 3: Cross multiply
    913,072x = 1,419,344 × 1,419,344
  4. Step 4: Simplify right side
    913,072x = 2,014,537,390,336
  5. Step 5: Solve for x
    x = 2,014,537,390,336/913,072
  6. Step 6: Final answer
    x = 2,206,329.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.