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Finding the Third Proportional to 999,780 and 2,159,256

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Solution

The third proportional to 999,780 and 2,159,256 is: 4,663,412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,780 : 2,159,256 = 2,159,256 : x
  2. Step 2: Convert to fraction form
    999,780/2,159,256 = 2,159,256/x
  3. Step 3: Cross multiply
    999,780x = 2,159,256 × 2,159,256
  4. Step 4: Simplify right side
    999,780x = 4,662,386,473,536
  5. Step 5: Solve for x
    x = 4,662,386,473,536/999,780
  6. Step 6: Final answer
    x = 4,663,412.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.