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Finding the Third Proportional to 822,515,546 and 1,780,457,908

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Solution

The third proportional to 822,515,546 and 1,780,457,908 is: 3,854,067,412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,515,546 : 1,780,457,908 = 1,780,457,908 : x
  2. Step 2: Convert to fraction form
    822,515,546/1,780,457,908 = 1,780,457,908/x
  3. Step 3: Cross multiply
    822,515,546x = 1,780,457,908 × 1,780,457,908
  4. Step 4: Simplify right side
    822,515,546x = 3,170,030,362,159,736,320
  5. Step 5: Solve for x
    x = 3,170,030,362,159,736,320/822,515,546
  6. Step 6: Final answer
    x = 3,854,067,412.56

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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.