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Finding the Third Proportional to 414,470,316 and 898,872,333

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Solution

The third proportional to 414,470,316 and 898,872,333 is: 1,949,407,327.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,470,316 : 898,872,333 = 898,872,333 : x
  2. Step 2: Convert to fraction form
    414,470,316/898,872,333 = 898,872,333/x
  3. Step 3: Cross multiply
    414,470,316x = 898,872,333 × 898,872,333
  4. Step 4: Simplify right side
    414,470,316x = 807,971,471,032,862,848
  5. Step 5: Solve for x
    x = 807,971,471,032,862,848/414,470,316
  6. Step 6: Final answer
    x = 1,949,407,327.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.