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Finding the Third Proportional to 614,980 and 1,351,038

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Solution

The third proportional to 614,980 and 1,351,038 is: 2,968,069.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,980 : 1,351,038 = 1,351,038 : x
  2. Step 2: Convert to fraction form
    614,980/1,351,038 = 1,351,038/x
  3. Step 3: Cross multiply
    614,980x = 1,351,038 × 1,351,038
  4. Step 4: Simplify right side
    614,980x = 1,825,303,677,444
  5. Step 5: Solve for x
    x = 1,825,303,677,444/614,980
  6. Step 6: Final answer
    x = 2,968,069.98

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