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Finding the Third Proportional to 417,191,031 and 906,948,774

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Solution

The third proportional to 417,191,031 and 906,948,774 is: 1,971,653,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,191,031 : 906,948,774 = 906,948,774 : x
  2. Step 2: Convert to fraction form
    417,191,031/906,948,774 = 906,948,774/x
  3. Step 3: Cross multiply
    417,191,031x = 906,948,774 × 906,948,774
  4. Step 4: Simplify right side
    417,191,031x = 822,556,078,660,103,040
  5. Step 5: Solve for x
    x = 822,556,078,660,103,040/417,191,031
  6. Step 6: Final answer
    x = 1,971,653,313.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.