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Finding the Third Proportional to 407,409,871 and 646,177,285

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Solution

The third proportional to 407,409,871 and 646,177,285 is: 1,024,877,189.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,409,871 : 646,177,285 = 646,177,285 : x
  2. Step 2: Convert to fraction form
    407,409,871/646,177,285 = 646,177,285/x
  3. Step 3: Cross multiply
    407,409,871x = 646,177,285 × 646,177,285
  4. Step 4: Simplify right side
    407,409,871x = 417,545,083,649,971,200
  5. Step 5: Solve for x
    x = 417,545,083,649,971,200/407,409,871
  6. Step 6: Final answer
    x = 1,024,877,189.71

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.