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Finding the Third Proportional to 917,642,714 and 1,402,796,859

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Solution

The third proportional to 917,642,714 and 1,402,796,859 is: 2,144,450,119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,642,714 : 1,402,796,859 = 1,402,796,859 : x
  2. Step 2: Convert to fraction form
    917,642,714/1,402,796,859 = 1,402,796,859/x
  3. Step 3: Cross multiply
    917,642,714x = 1,402,796,859 × 1,402,796,859
  4. Step 4: Simplify right side
    917,642,714x = 1,967,839,027,620,265,984
  5. Step 5: Solve for x
    x = 1,967,839,027,620,265,984/917,642,714
  6. Step 6: Final answer
    x = 2,144,450,119.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.