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Finding the Third Proportional to 459,903,444 and 689,686,290

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Solution

The third proportional to 459,903,444 and 689,686,290 is: 1,034,276,183.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,903,444 : 689,686,290 = 689,686,290 : x
  2. Step 2: Convert to fraction form
    459,903,444/689,686,290 = 689,686,290/x
  3. Step 3: Cross multiply
    459,903,444x = 689,686,290 × 689,686,290
  4. Step 4: Simplify right side
    459,903,444x = 475,667,178,613,964,096
  5. Step 5: Solve for x
    x = 475,667,178,613,964,096/459,903,444
  6. Step 6: Final answer
    x = 1,034,276,183.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.