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Finding the Third Proportional to 562,547 and 843,881

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Solution

The third proportional to 562,547 and 843,881 is: 1,265,912.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,547 : 843,881 = 843,881 : x
  2. Step 2: Convert to fraction form
    562,547/843,881 = 843,881/x
  3. Step 3: Cross multiply
    562,547x = 843,881 × 843,881
  4. Step 4: Simplify right side
    562,547x = 712,135,142,161
  5. Step 5: Solve for x
    x = 712,135,142,161/562,547
  6. Step 6: Final answer
    x = 1,265,912.26

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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.