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Finding the Third Proportional to 909,738,921.75 and 1,300,037,996.25

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Solution

The third proportional to 909,738,921.75 and 1,300,037,996.25 is: 1,857,784,416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,738,921.75 : 1,300,037,996.25 = 1,300,037,996.25 : x
  2. Step 2: Convert to fraction form
    909,738,921.75/1,300,037,996.25 = 1,300,037,996.25/x
  3. Step 3: Cross multiply
    909,738,921.75x = 1,300,037,996.25 × 1,300,037,996.25
  4. Step 4: Simplify right side
    909,738,921.75x = 1,690,098,791,693,714,944
  5. Step 5: Solve for x
    x = 1,690,098,791,693,714,944/909,738,921.75
  6. Step 6: Final answer
    x = 1,857,784,416.26

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.