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Finding the Third Proportional to 459,785,584 and 1,003,847,072

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Solution

The third proportional to 459,785,584 and 1,003,847,072 is: 2,191,693,213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,785,584 : 1,003,847,072 = 1,003,847,072 : x
  2. Step 2: Convert to fraction form
    459,785,584/1,003,847,072 = 1,003,847,072/x
  3. Step 3: Cross multiply
    459,785,584x = 1,003,847,072 × 1,003,847,072
  4. Step 4: Simplify right side
    459,785,584x = 1,007,708,943,962,973,184
  5. Step 5: Solve for x
    x = 1,007,708,943,962,973,184/459,785,584
  6. Step 6: Final answer
    x = 2,191,693,213.16

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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.