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Finding the Third Proportional to 507,810 and 1,081,416

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Solution

The third proportional to 507,810 and 1,081,416 is: 2,302,949.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,810 : 1,081,416 = 1,081,416 : x
  2. Step 2: Convert to fraction form
    507,810/1,081,416 = 1,081,416/x
  3. Step 3: Cross multiply
    507,810x = 1,081,416 × 1,081,416
  4. Step 4: Simplify right side
    507,810x = 1,169,460,565,056
  5. Step 5: Solve for x
    x = 1,169,460,565,056/507,810
  6. Step 6: Final answer
    x = 2,302,949.07

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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.