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Finding the Third Proportional to 1,266,097 and 2,928,499

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Solution

The third proportional to 1,266,097 and 2,928,499 is: 6,773,656.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266,097 : 2,928,499 = 2,928,499 : x
  2. Step 2: Convert to fraction form
    1,266,097/2,928,499 = 2,928,499/x
  3. Step 3: Cross multiply
    1,266,097x = 2,928,499 × 2,928,499
  4. Step 4: Simplify right side
    1,266,097x = 8,576,106,393,001
  5. Step 5: Solve for x
    x = 8,576,106,393,001/1,266,097
  6. Step 6: Final answer
    x = 6,773,656.67

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.