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Finding the Third Proportional to 599,870 and 953,995

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Solution

The third proportional to 599,870 and 953,995 is: 1,517,172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,870 : 953,995 = 953,995 : x
  2. Step 2: Convert to fraction form
    599,870/953,995 = 953,995/x
  3. Step 3: Cross multiply
    599,870x = 953,995 × 953,995
  4. Step 4: Simplify right side
    599,870x = 910,106,460,025
  5. Step 5: Solve for x
    x = 910,106,460,025/599,870
  6. Step 6: Final answer
    x = 1,517,172.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.