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Finding the Third Proportional to 507,051 and 1,028,097

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Solution

The third proportional to 507,051 and 1,028,097 is: 2,084,570.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,051 : 1,028,097 = 1,028,097 : x
  2. Step 2: Convert to fraction form
    507,051/1,028,097 = 1,028,097/x
  3. Step 3: Cross multiply
    507,051x = 1,028,097 × 1,028,097
  4. Step 4: Simplify right side
    507,051x = 1,056,983,441,409
  5. Step 5: Solve for x
    x = 1,056,983,441,409/507,051
  6. Step 6: Final answer
    x = 2,084,570.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.