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Finding the Third Proportional to 576,762,864 and 893,642,729

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Solution

The third proportional to 576,762,864 and 893,642,729 is: 1,384,619,879.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,762,864 : 893,642,729 = 893,642,729 : x
  2. Step 2: Convert to fraction form
    576,762,864/893,642,729 = 893,642,729/x
  3. Step 3: Cross multiply
    576,762,864x = 893,642,729 × 893,642,729
  4. Step 4: Simplify right side
    576,762,864x = 798,597,327,094,567,424
  5. Step 5: Solve for x
    x = 798,597,327,094,567,424/576,762,864
  6. Step 6: Final answer
    x = 1,384,619,879.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.