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Finding the Third Proportional to 953,286 and 1,397,853

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Solution

The third proportional to 953,286 and 1,397,853 is: 2,049,744.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,286 : 1,397,853 = 1,397,853 : x
  2. Step 2: Convert to fraction form
    953,286/1,397,853 = 1,397,853/x
  3. Step 3: Cross multiply
    953,286x = 1,397,853 × 1,397,853
  4. Step 4: Simplify right side
    953,286x = 1,953,993,009,609
  5. Step 5: Solve for x
    x = 1,953,993,009,609/953,286
  6. Step 6: Final answer
    x = 2,049,744.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.