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Finding the Third Proportional to 694,395,965 and 1,057,873,257

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Solution

The third proportional to 694,395,965 and 1,057,873,257 is: 1,611,610,499.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,395,965 : 1,057,873,257 = 1,057,873,257 : x
  2. Step 2: Convert to fraction form
    694,395,965/1,057,873,257 = 1,057,873,257/x
  3. Step 3: Cross multiply
    694,395,965x = 1,057,873,257 × 1,057,873,257
  4. Step 4: Simplify right side
    694,395,965x = 1,119,095,827,875,788,032
  5. Step 5: Solve for x
    x = 1,119,095,827,875,788,032/694,395,965
  6. Step 6: Final answer
    x = 1,611,610,499.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.