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Finding the Third Proportional to 832,356 and 1,790,964

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Solution

The third proportional to 832,356 and 1,790,964 is: 3,853,581.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,356 : 1,790,964 = 1,790,964 : x
  2. Step 2: Convert to fraction form
    832,356/1,790,964 = 1,790,964/x
  3. Step 3: Cross multiply
    832,356x = 1,790,964 × 1,790,964
  4. Step 4: Simplify right side
    832,356x = 3,207,552,049,296
  5. Step 5: Solve for x
    x = 3,207,552,049,296/832,356
  6. Step 6: Final answer
    x = 3,853,581.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.