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Finding the Third Proportional to 656,458,776 and 1,039,485,852

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Solution

The third proportional to 656,458,776 and 1,039,485,852 is: 1,645,999,529.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,458,776 : 1,039,485,852 = 1,039,485,852 : x
  2. Step 2: Convert to fraction form
    656,458,776/1,039,485,852 = 1,039,485,852/x
  3. Step 3: Cross multiply
    656,458,776x = 1,039,485,852 × 1,039,485,852
  4. Step 4: Simplify right side
    656,458,776x = 1,080,530,836,508,165,888
  5. Step 5: Solve for x
    x = 1,080,530,836,508,165,888/656,458,776
  6. Step 6: Final answer
    x = 1,645,999,529.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.