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Finding the Third Proportional to 703,900,842 and 1,064,911,014

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Solution

The third proportional to 703,900,842 and 1,064,911,014 is: 1,611,072,753.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,900,842 : 1,064,911,014 = 1,064,911,014 : x
  2. Step 2: Convert to fraction form
    703,900,842/1,064,911,014 = 1,064,911,014/x
  3. Step 3: Cross multiply
    703,900,842x = 1,064,911,014 × 1,064,911,014
  4. Step 4: Simplify right side
    703,900,842x = 1,134,035,467,738,508,160
  5. Step 5: Solve for x
    x = 1,134,035,467,738,508,160/703,900,842
  6. Step 6: Final answer
    x = 1,611,072,753.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.