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Finding the Third Proportional to 917,082 and 1,223,100

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Solution

The third proportional to 917,082 and 1,223,100 is: 1,631,232.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,082 : 1,223,100 = 1,223,100 : x
  2. Step 2: Convert to fraction form
    917,082/1,223,100 = 1,223,100/x
  3. Step 3: Cross multiply
    917,082x = 1,223,100 × 1,223,100
  4. Step 4: Simplify right side
    917,082x = 1,495,973,610,000
  5. Step 5: Solve for x
    x = 1,495,973,610,000/917,082
  6. Step 6: Final answer
    x = 1,631,232.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.