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Finding the Third Proportional to 672,894 and 1,471,176

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Solution

The third proportional to 672,894 and 1,471,176 is: 3,216,492.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,894 : 1,471,176 = 1,471,176 : x
  2. Step 2: Convert to fraction form
    672,894/1,471,176 = 1,471,176/x
  3. Step 3: Cross multiply
    672,894x = 1,471,176 × 1,471,176
  4. Step 4: Simplify right side
    672,894x = 2,164,358,822,976
  5. Step 5: Solve for x
    x = 2,164,358,822,976/672,894
  6. Step 6: Final answer
    x = 3,216,492.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.