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Finding the Third Proportional to 459,727,098 and 1,021,490,862

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Solution

The third proportional to 459,727,098 and 1,021,490,862 is: 2,269,702,146.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,727,098 : 1,021,490,862 = 1,021,490,862 : x
  2. Step 2: Convert to fraction form
    459,727,098/1,021,490,862 = 1,021,490,862/x
  3. Step 3: Cross multiply
    459,727,098x = 1,021,490,862 × 1,021,490,862
  4. Step 4: Simplify right side
    459,727,098x = 1,043,443,581,149,503,104
  5. Step 5: Solve for x
    x = 1,043,443,581,149,503,104/459,727,098
  6. Step 6: Final answer
    x = 2,269,702,146.53

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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.