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Finding the Third Proportional to 923,314 and 1,418,323

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Solution

The third proportional to 923,314 and 1,418,323 is: 2,178,717.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,314 : 1,418,323 = 1,418,323 : x
  2. Step 2: Convert to fraction form
    923,314/1,418,323 = 1,418,323/x
  3. Step 3: Cross multiply
    923,314x = 1,418,323 × 1,418,323
  4. Step 4: Simplify right side
    923,314x = 2,011,640,132,329
  5. Step 5: Solve for x
    x = 2,011,640,132,329/923,314
  6. Step 6: Final answer
    x = 2,178,717.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.