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Finding the Third Proportional to 656,458,842 and 1,039,485,952

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Solution

The third proportional to 656,458,842 and 1,039,485,952 is: 1,645,999,680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,458,842 : 1,039,485,952 = 1,039,485,952 : x
  2. Step 2: Convert to fraction form
    656,458,842/1,039,485,952 = 1,039,485,952/x
  3. Step 3: Cross multiply
    656,458,842x = 1,039,485,952 × 1,039,485,952
  4. Step 4: Simplify right side
    656,458,842x = 1,080,531,044,405,346,304
  5. Step 5: Solve for x
    x = 1,080,531,044,405,346,304/656,458,842
  6. Step 6: Final answer
    x = 1,645,999,680.82

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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.