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Finding the Third Proportional to 414,470,343 and 898,872,384

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Solution

The third proportional to 414,470,343 and 898,872,384 is: 1,949,407,421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,470,343 : 898,872,384 = 898,872,384 : x
  2. Step 2: Convert to fraction form
    414,470,343/898,872,384 = 898,872,384/x
  3. Step 3: Cross multiply
    414,470,343x = 898,872,384 × 898,872,384
  4. Step 4: Simplify right side
    414,470,343x = 807,971,562,717,843,456
  5. Step 5: Solve for x
    x = 807,971,562,717,843,456/414,470,343
  6. Step 6: Final answer
    x = 1,949,407,421.70

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