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Finding the Third Proportional to 831,313.13 and 1,252,918.13

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Solution

The third proportional to 831,313.13 and 1,252,918.13 is: 1,888,342.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,313.13 : 1,252,918.13 = 1,252,918.13 : x
  2. Step 2: Convert to fraction form
    831,313.13/1,252,918.13 = 1,252,918.13/x
  3. Step 3: Cross multiply
    831,313.13x = 1,252,918.13 × 1,252,918.13
  4. Step 4: Simplify right side
    831,313.13x = 1,569,803,827,953.52
  5. Step 5: Solve for x
    x = 1,569,803,827,953.52/831,313.13
  6. Step 6: Final answer
    x = 1,888,342.41

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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.