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Finding the Third Proportional to 541,740,996 and 830,097,684

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Solution

The third proportional to 541,740,996 and 830,097,684 is: 1,271,940,226.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,740,996 : 830,097,684 = 830,097,684 : x
  2. Step 2: Convert to fraction form
    541,740,996/830,097,684 = 830,097,684/x
  3. Step 3: Cross multiply
    541,740,996x = 830,097,684 × 830,097,684
  4. Step 4: Simplify right side
    541,740,996x = 689,062,164,982,163,840
  5. Step 5: Solve for x
    x = 689,062,164,982,163,840/541,740,996
  6. Step 6: Final answer
    x = 1,271,940,226.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.