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Finding the Third Proportional to 487,187,894 and 1,000,203,096

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Solution

The third proportional to 487,187,894 and 1,000,203,096 is: 2,053,429,991.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,187,894 : 1,000,203,096 = 1,000,203,096 : x
  2. Step 2: Convert to fraction form
    487,187,894/1,000,203,096 = 1,000,203,096/x
  3. Step 3: Cross multiply
    487,187,894x = 1,000,203,096 × 1,000,203,096
  4. Step 4: Simplify right side
    487,187,894x = 1,000,406,233,247,985,152
  5. Step 5: Solve for x
    x = 1,000,406,233,247,985,152/487,187,894
  6. Step 6: Final answer
    x = 2,053,429,991.94

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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.