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Finding the Third Proportional to 459,785,642 and 1,003,847,188

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Solution

The third proportional to 459,785,642 and 1,003,847,188 is: 2,191,693,443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,785,642 : 1,003,847,188 = 1,003,847,188 : x
  2. Step 2: Convert to fraction form
    459,785,642/1,003,847,188 = 1,003,847,188/x
  3. Step 3: Cross multiply
    459,785,642x = 1,003,847,188 × 1,003,847,188
  4. Step 4: Simplify right side
    459,785,642x = 1,007,709,176,855,507,328
  5. Step 5: Solve for x
    x = 1,007,709,176,855,507,328/459,785,642
  6. Step 6: Final answer
    x = 2,191,693,443.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.