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Finding the Third Proportional to 953,712 and 1,336,822

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Solution

The third proportional to 953,712 and 1,336,822 is: 1,873,828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,712 : 1,336,822 = 1,336,822 : x
  2. Step 2: Convert to fraction form
    953,712/1,336,822 = 1,336,822/x
  3. Step 3: Cross multiply
    953,712x = 1,336,822 × 1,336,822
  4. Step 4: Simplify right side
    953,712x = 1,787,093,059,684
  5. Step 5: Solve for x
    x = 1,787,093,059,684/953,712
  6. Step 6: Final answer
    x = 1,873,828.85

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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.