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Finding the Third Proportional to 403,869,657 and 884,353,216

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Solution

The third proportional to 403,869,657 and 884,353,216 is: 1,936,467,860.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,869,657 : 884,353,216 = 884,353,216 : x
  2. Step 2: Convert to fraction form
    403,869,657/884,353,216 = 884,353,216/x
  3. Step 3: Cross multiply
    403,869,657x = 884,353,216 × 884,353,216
  4. Step 4: Simplify right side
    403,869,657x = 782,080,610,649,542,656
  5. Step 5: Solve for x
    x = 782,080,610,649,542,656/403,869,657
  6. Step 6: Final answer
    x = 1,936,467,860.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.