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Finding the Third Proportional to 731,672 and 1,099,456

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Solution

The third proportional to 731,672 and 1,099,456 is: 1,652,111.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,672 : 1,099,456 = 1,099,456 : x
  2. Step 2: Convert to fraction form
    731,672/1,099,456 = 1,099,456/x
  3. Step 3: Cross multiply
    731,672x = 1,099,456 × 1,099,456
  4. Step 4: Simplify right side
    731,672x = 1,208,803,495,936
  5. Step 5: Solve for x
    x = 1,208,803,495,936/731,672
  6. Step 6: Final answer
    x = 1,652,111.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.