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Finding the Third Proportional to 906,289,949 and 1,399,470,159

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Solution

The third proportional to 906,289,949 and 1,399,470,159 is: 2,161,026,642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,289,949 : 1,399,470,159 = 1,399,470,159 : x
  2. Step 2: Convert to fraction form
    906,289,949/1,399,470,159 = 1,399,470,159/x
  3. Step 3: Cross multiply
    906,289,949x = 1,399,470,159 × 1,399,470,159
  4. Step 4: Simplify right side
    906,289,949x = 1,958,516,725,931,485,184
  5. Step 5: Solve for x
    x = 1,958,516,725,931,485,184/906,289,949
  6. Step 6: Final answer
    x = 2,161,026,642.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.