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Finding the Third Proportional to 534,342 and 1,124,013

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Solution

The third proportional to 534,342 and 1,124,013 is: 2,364,413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,342 : 1,124,013 = 1,124,013 : x
  2. Step 2: Convert to fraction form
    534,342/1,124,013 = 1,124,013/x
  3. Step 3: Cross multiply
    534,342x = 1,124,013 × 1,124,013
  4. Step 4: Simplify right side
    534,342x = 1,263,405,224,169
  5. Step 5: Solve for x
    x = 1,263,405,224,169/534,342
  6. Step 6: Final answer
    x = 2,364,413.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.