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Finding the Third Proportional to 748,754 and 1,222,509

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Solution

The third proportional to 748,754 and 1,222,509 is: 1,996,020.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,754 : 1,222,509 = 1,222,509 : x
  2. Step 2: Convert to fraction form
    748,754/1,222,509 = 1,222,509/x
  3. Step 3: Cross multiply
    748,754x = 1,222,509 × 1,222,509
  4. Step 4: Simplify right side
    748,754x = 1,494,528,255,081
  5. Step 5: Solve for x
    x = 1,494,528,255,081/748,754
  6. Step 6: Final answer
    x = 1,996,020.40

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.