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Finding the Third Proportional to 570,961,485 and 908,511,966

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Solution

The third proportional to 570,961,485 and 908,511,966 is: 1,445,621,139.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,961,485 : 908,511,966 = 908,511,966 : x
  2. Step 2: Convert to fraction form
    570,961,485/908,511,966 = 908,511,966/x
  3. Step 3: Cross multiply
    570,961,485x = 908,511,966 × 908,511,966
  4. Step 4: Simplify right side
    570,961,485x = 825,393,992,365,185,152
  5. Step 5: Solve for x
    x = 825,393,992,365,185,152/570,961,485
  6. Step 6: Final answer
    x = 1,445,621,139.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.