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Finding the Third Proportional to 614,999 and 1,351,072

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Solution

The third proportional to 614,999 and 1,351,072 is: 2,968,127.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,999 : 1,351,072 = 1,351,072 : x
  2. Step 2: Convert to fraction form
    614,999/1,351,072 = 1,351,072/x
  3. Step 3: Cross multiply
    614,999x = 1,351,072 × 1,351,072
  4. Step 4: Simplify right side
    614,999x = 1,825,395,549,184
  5. Step 5: Solve for x
    x = 1,825,395,549,184/614,999
  6. Step 6: Final answer
    x = 2,968,127.67

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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.