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Finding the Third Proportional to 503,361 and 1,106,190

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Solution

The third proportional to 503,361 and 1,106,190 is: 2,430,971.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,361 : 1,106,190 = 1,106,190 : x
  2. Step 2: Convert to fraction form
    503,361/1,106,190 = 1,106,190/x
  3. Step 3: Cross multiply
    503,361x = 1,106,190 × 1,106,190
  4. Step 4: Simplify right side
    503,361x = 1,223,656,316,100
  5. Step 5: Solve for x
    x = 1,223,656,316,100/503,361
  6. Step 6: Final answer
    x = 2,430,971.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.