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Finding the Third Proportional to 1,035,346,500 and 1,456,284,006

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Solution

The third proportional to 1,035,346,500 and 1,456,284,006 is: 2,048,360,723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,346,500 : 1,456,284,006 = 1,456,284,006 : x
  2. Step 2: Convert to fraction form
    1,035,346,500/1,456,284,006 = 1,456,284,006/x
  3. Step 3: Cross multiply
    1,035,346,500x = 1,456,284,006 × 1,456,284,006
  4. Step 4: Simplify right side
    1,035,346,500x = 2,120,763,106,131,408,128
  5. Step 5: Solve for x
    x = 2,120,763,106,131,408,128/1,035,346,500
  6. Step 6: Final answer
    x = 2,048,360,723.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.