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Finding the Third Proportional to 487,187,886 and 1,000,203,081

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Solution

The third proportional to 487,187,886 and 1,000,203,081 is: 2,053,429,964.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,187,886 : 1,000,203,081 = 1,000,203,081 : x
  2. Step 2: Convert to fraction form
    487,187,886/1,000,203,081 = 1,000,203,081/x
  3. Step 3: Cross multiply
    487,187,886x = 1,000,203,081 × 1,000,203,081
  4. Step 4: Simplify right side
    487,187,886x = 1,000,406,203,241,892,608
  5. Step 5: Solve for x
    x = 1,000,406,203,241,892,608/487,187,886
  6. Step 6: Final answer
    x = 2,053,429,964.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.