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Finding the Third Proportional to 414,470,356 and 898,872,408

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Solution

The third proportional to 414,470,356 and 898,872,408 is: 1,949,407,464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,470,356 : 898,872,408 = 898,872,408 : x
  2. Step 2: Convert to fraction form
    414,470,356/898,872,408 = 898,872,408/x
  3. Step 3: Cross multiply
    414,470,356x = 898,872,408 × 898,872,408
  4. Step 4: Simplify right side
    414,470,356x = 807,971,605,863,718,400
  5. Step 5: Solve for x
    x = 807,971,605,863,718,400/414,470,356
  6. Step 6: Final answer
    x = 1,949,407,464.65

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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.