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Finding the Third Proportional to 491,139 and 1,075,968

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Solution

The third proportional to 491,139 and 1,075,968 is: 2,357,188.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,139 : 1,075,968 = 1,075,968 : x
  2. Step 2: Convert to fraction form
    491,139/1,075,968 = 1,075,968/x
  3. Step 3: Cross multiply
    491,139x = 1,075,968 × 1,075,968
  4. Step 4: Simplify right side
    491,139x = 1,157,707,137,024
  5. Step 5: Solve for x
    x = 1,157,707,137,024/491,139
  6. Step 6: Final answer
    x = 2,357,188.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.