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Finding the Third Proportional to 695,112,984 and 1,049,133,640

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Solution

The third proportional to 695,112,984 and 1,049,133,640 is: 1,583,456,819.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,112,984 : 1,049,133,640 = 1,049,133,640 : x
  2. Step 2: Convert to fraction form
    695,112,984/1,049,133,640 = 1,049,133,640/x
  3. Step 3: Cross multiply
    695,112,984x = 1,049,133,640 × 1,049,133,640
  4. Step 4: Simplify right side
    695,112,984x = 1,100,681,394,579,649,536
  5. Step 5: Solve for x
    x = 1,100,681,394,579,649,536/695,112,984
  6. Step 6: Final answer
    x = 1,583,456,819.13

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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.