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Finding the Third Proportional to 595,298,230 and 925,489,802

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Solution

The third proportional to 595,298,230 and 925,489,802 is: 1,438,827,348.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,298,230 : 925,489,802 = 925,489,802 : x
  2. Step 2: Convert to fraction form
    595,298,230/925,489,802 = 925,489,802/x
  3. Step 3: Cross multiply
    595,298,230x = 925,489,802 × 925,489,802
  4. Step 4: Simplify right side
    595,298,230x = 856,531,373,605,999,232
  5. Step 5: Solve for x
    x = 856,531,373,605,999,232/595,298,230
  6. Step 6: Final answer
    x = 1,438,827,348.11

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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.