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Finding the Third Proportional to 700,032 and 1,056,456

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Solution

The third proportional to 700,032 and 1,056,456 is: 1,594,354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,032 : 1,056,456 = 1,056,456 : x
  2. Step 2: Convert to fraction form
    700,032/1,056,456 = 1,056,456/x
  3. Step 3: Cross multiply
    700,032x = 1,056,456 × 1,056,456
  4. Step 4: Simplify right side
    700,032x = 1,116,099,279,936
  5. Step 5: Solve for x
    x = 1,116,099,279,936/700,032
  6. Step 6: Final answer
    x = 1,594,354.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.