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Finding the Third Proportional to 456,900,121 and 706,309,337

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Solution

The third proportional to 456,900,121 and 706,309,337 is: 1,091,864,187.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,900,121 : 706,309,337 = 706,309,337 : x
  2. Step 2: Convert to fraction form
    456,900,121/706,309,337 = 706,309,337/x
  3. Step 3: Cross multiply
    456,900,121x = 706,309,337 × 706,309,337
  4. Step 4: Simplify right side
    456,900,121x = 498,872,879,533,379,584
  5. Step 5: Solve for x
    x = 498,872,879,533,379,584/456,900,121
  6. Step 6: Final answer
    x = 1,091,864,187.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.