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Finding the Third Proportional to 584,698,134 and 1,300,125,014

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Solution

The third proportional to 584,698,134 and 1,300,125,014 is: 2,890,936,286.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,698,134 : 1,300,125,014 = 1,300,125,014 : x
  2. Step 2: Convert to fraction form
    584,698,134/1,300,125,014 = 1,300,125,014/x
  3. Step 3: Cross multiply
    584,698,134x = 1,300,125,014 × 1,300,125,014
  4. Step 4: Simplify right side
    584,698,134x = 1,690,325,052,028,500,224
  5. Step 5: Solve for x
    x = 1,690,325,052,028,500,224/584,698,134
  6. Step 6: Final answer
    x = 2,890,936,286.16

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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.