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Finding the Third Proportional to 491,076 and 1,075,848

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Solution

The third proportional to 491,076 and 1,075,848 is: 2,356,964.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,076 : 1,075,848 = 1,075,848 : x
  2. Step 2: Convert to fraction form
    491,076/1,075,848 = 1,075,848/x
  3. Step 3: Cross multiply
    491,076x = 1,075,848 × 1,075,848
  4. Step 4: Simplify right side
    491,076x = 1,157,448,919,104
  5. Step 5: Solve for x
    x = 1,157,448,919,104/491,076
  6. Step 6: Final answer
    x = 2,356,964.95

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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.