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Finding the Third Proportional to 306,484,784 and 680,994,018

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Solution

The third proportional to 306,484,784 and 680,994,018 is: 1,513,134,996.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,484,784 : 680,994,018 = 680,994,018 : x
  2. Step 2: Convert to fraction form
    306,484,784/680,994,018 = 680,994,018/x
  3. Step 3: Cross multiply
    306,484,784x = 680,994,018 × 680,994,018
  4. Step 4: Simplify right side
    306,484,784x = 463,752,852,551,784,320
  5. Step 5: Solve for x
    x = 463,752,852,551,784,320/306,484,784
  6. Step 6: Final answer
    x = 1,513,134,996.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.