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Finding the Third Proportional to 824,486,705 and 1,797,120,786

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Solution

The third proportional to 824,486,705 and 1,797,120,786 is: 3,917,156,092.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,486,705 : 1,797,120,786 = 1,797,120,786 : x
  2. Step 2: Convert to fraction form
    824,486,705/1,797,120,786 = 1,797,120,786/x
  3. Step 3: Cross multiply
    824,486,705x = 1,797,120,786 × 1,797,120,786
  4. Step 4: Simplify right side
    824,486,705x = 3,229,643,119,473,257,984
  5. Step 5: Solve for x
    x = 3,229,643,119,473,257,984/824,486,705
  6. Step 6: Final answer
    x = 3,917,156,092.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.