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Finding the Third Proportional to 1,052,097 and 2,301,065

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Solution

The third proportional to 1,052,097 and 2,301,065 is: 5,032,710.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052,097 : 2,301,065 = 2,301,065 : x
  2. Step 2: Convert to fraction form
    1,052,097/2,301,065 = 2,301,065/x
  3. Step 3: Cross multiply
    1,052,097x = 2,301,065 × 2,301,065
  4. Step 4: Simplify right side
    1,052,097x = 5,294,900,134,225
  5. Step 5: Solve for x
    x = 5,294,900,134,225/1,052,097
  6. Step 6: Final answer
    x = 5,032,710.99

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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.