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Finding the Third Proportional to 930,974 and 1,423,514

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Solution

The third proportional to 930,974 and 1,423,514 is: 2,176,636.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,974 : 1,423,514 = 1,423,514 : x
  2. Step 2: Convert to fraction form
    930,974/1,423,514 = 1,423,514/x
  3. Step 3: Cross multiply
    930,974x = 1,423,514 × 1,423,514
  4. Step 4: Simplify right side
    930,974x = 2,026,392,108,196
  5. Step 5: Solve for x
    x = 2,026,392,108,196/930,974
  6. Step 6: Final answer
    x = 2,176,636.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.