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Finding the Third Proportional to 822,515,540 and 1,780,457,896

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Solution

The third proportional to 822,515,540 and 1,780,457,896 is: 3,854,067,388.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,515,540 : 1,780,457,896 = 1,780,457,896 : x
  2. Step 2: Convert to fraction form
    822,515,540/1,780,457,896 = 1,780,457,896/x
  3. Step 3: Cross multiply
    822,515,540x = 1,780,457,896 × 1,780,457,896
  4. Step 4: Simplify right side
    822,515,540x = 3,170,030,319,428,746,752
  5. Step 5: Solve for x
    x = 3,170,030,319,428,746,752/822,515,540
  6. Step 6: Final answer
    x = 3,854,067,388.72

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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.