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Finding the Third Proportional to 459,727,094 and 1,021,490,860

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Solution

The third proportional to 459,727,094 and 1,021,490,860 is: 2,269,702,157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,727,094 : 1,021,490,860 = 1,021,490,860 : x
  2. Step 2: Convert to fraction form
    459,727,094/1,021,490,860 = 1,021,490,860/x
  3. Step 3: Cross multiply
    459,727,094x = 1,021,490,860 × 1,021,490,860
  4. Step 4: Simplify right side
    459,727,094x = 1,043,443,577,063,539,584
  5. Step 5: Solve for x
    x = 1,043,443,577,063,539,584/459,727,094
  6. Step 6: Final answer
    x = 2,269,702,157.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.