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Finding the Third Proportional to 779,830,856 and 1,712,725,504

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Solution

The third proportional to 779,830,856 and 1,712,725,504 is: 3,761,621,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,830,856 : 1,712,725,504 = 1,712,725,504 : x
  2. Step 2: Convert to fraction form
    779,830,856/1,712,725,504 = 1,712,725,504/x
  3. Step 3: Cross multiply
    779,830,856x = 1,712,725,504 × 1,712,725,504
  4. Step 4: Simplify right side
    779,830,856x = 2,933,428,652,052,054,016
  5. Step 5: Solve for x
    x = 2,933,428,652,052,054,016/779,830,856
  6. Step 6: Final answer
    x = 3,761,621,676.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.