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Finding the Third Proportional to 434,462 and 946,159

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Solution

The third proportional to 434,462 and 946,159 is: 2,060,518.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,462 : 946,159 = 946,159 : x
  2. Step 2: Convert to fraction form
    434,462/946,159 = 946,159/x
  3. Step 3: Cross multiply
    434,462x = 946,159 × 946,159
  4. Step 4: Simplify right side
    434,462x = 895,216,853,281
  5. Step 5: Solve for x
    x = 895,216,853,281/434,462
  6. Step 6: Final answer
    x = 2,060,518.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.