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Finding the Third Proportional to 491,141 and 1,075,972

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Solution

The third proportional to 491,141 and 1,075,972 is: 2,357,196.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,141 : 1,075,972 = 1,075,972 : x
  2. Step 2: Convert to fraction form
    491,141/1,075,972 = 1,075,972/x
  3. Step 3: Cross multiply
    491,141x = 1,075,972 × 1,075,972
  4. Step 4: Simplify right side
    491,141x = 1,157,715,744,784
  5. Step 5: Solve for x
    x = 1,157,715,744,784/491,141
  6. Step 6: Final answer
    x = 2,357,196.29

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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.