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Finding the Third Proportional to 923,308 and 1,418,314

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Solution

The third proportional to 923,308 and 1,418,314 is: 2,178,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,308 : 1,418,314 = 1,418,314 : x
  2. Step 2: Convert to fraction form
    923,308/1,418,314 = 1,418,314/x
  3. Step 3: Cross multiply
    923,308x = 1,418,314 × 1,418,314
  4. Step 4: Simplify right side
    923,308x = 2,011,614,602,596
  5. Step 5: Solve for x
    x = 2,011,614,602,596/923,308
  6. Step 6: Final answer
    x = 2,178,703.75

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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.