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Finding the Third Proportional to 441,630 and 957,942

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Solution

The third proportional to 441,630 and 957,942 is: 2,077,877.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,630 : 957,942 = 957,942 : x
  2. Step 2: Convert to fraction form
    441,630/957,942 = 957,942/x
  3. Step 3: Cross multiply
    441,630x = 957,942 × 957,942
  4. Step 4: Simplify right side
    441,630x = 917,652,875,364
  5. Step 5: Solve for x
    x = 917,652,875,364/441,630
  6. Step 6: Final answer
    x = 2,077,877.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.