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Finding the Third Proportional to 595,298,226 and 925,489,796

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Solution

The third proportional to 595,298,226 and 925,489,796 is: 1,438,827,339.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,298,226 : 925,489,796 = 925,489,796 : x
  2. Step 2: Convert to fraction form
    595,298,226/925,489,796 = 925,489,796/x
  3. Step 3: Cross multiply
    595,298,226x = 925,489,796 × 925,489,796
  4. Step 4: Simplify right side
    595,298,226x = 856,531,362,500,121,600
  5. Step 5: Solve for x
    x = 856,531,362,500,121,600/595,298,226
  6. Step 6: Final answer
    x = 1,438,827,339.12

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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.