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Finding the Third Proportional to 487,187,896 and 1,000,203,100

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Solution

The third proportional to 487,187,896 and 1,000,203,100 is: 2,053,429,999.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,187,896 : 1,000,203,100 = 1,000,203,100 : x
  2. Step 2: Convert to fraction form
    487,187,896/1,000,203,100 = 1,000,203,100/x
  3. Step 3: Cross multiply
    487,187,896x = 1,000,203,100 × 1,000,203,100
  4. Step 4: Simplify right side
    487,187,896x = 1,000,406,241,249,609,984
  5. Step 5: Solve for x
    x = 1,000,406,241,249,609,984/487,187,896
  6. Step 6: Final answer
    x = 2,053,429,999.93

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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.