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Finding the Third Proportional to 831,516 and 1,254,763

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Solution

The third proportional to 831,516 and 1,254,763 is: 1,893,445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,516 : 1,254,763 = 1,254,763 : x
  2. Step 2: Convert to fraction form
    831,516/1,254,763 = 1,254,763/x
  3. Step 3: Cross multiply
    831,516x = 1,254,763 × 1,254,763
  4. Step 4: Simplify right side
    831,516x = 1,574,430,186,169
  5. Step 5: Solve for x
    x = 1,574,430,186,169/831,516
  6. Step 6: Final answer
    x = 1,893,445.45

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Why These Related Problems?

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