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Finding the Third Proportional to 556,286 and 1,142,063

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Solution

The third proportional to 556,286 and 1,142,063 is: 2,344,671.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,286 : 1,142,063 = 1,142,063 : x
  2. Step 2: Convert to fraction form
    556,286/1,142,063 = 1,142,063/x
  3. Step 3: Cross multiply
    556,286x = 1,142,063 × 1,142,063
  4. Step 4: Simplify right side
    556,286x = 1,304,307,895,969
  5. Step 5: Solve for x
    x = 1,304,307,895,969/556,286
  6. Step 6: Final answer
    x = 2,344,671.44

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.