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Finding the Third Proportional to 507,808 and 1,081,412

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Solution

The third proportional to 507,808 and 1,081,412 is: 2,302,941.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,808 : 1,081,412 = 1,081,412 : x
  2. Step 2: Convert to fraction form
    507,808/1,081,412 = 1,081,412/x
  3. Step 3: Cross multiply
    507,808x = 1,081,412 × 1,081,412
  4. Step 4: Simplify right side
    507,808x = 1,169,451,913,744
  5. Step 5: Solve for x
    x = 1,169,451,913,744/507,808
  6. Step 6: Final answer
    x = 2,302,941.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.