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Finding the Third Proportional to 505,994 and 1,087,030

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Solution

The third proportional to 505,994 and 1,087,030 is: 2,335,273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,994 : 1,087,030 = 1,087,030 : x
  2. Step 2: Convert to fraction form
    505,994/1,087,030 = 1,087,030/x
  3. Step 3: Cross multiply
    505,994x = 1,087,030 × 1,087,030
  4. Step 4: Simplify right side
    505,994x = 1,181,634,220,900
  5. Step 5: Solve for x
    x = 1,181,634,220,900/505,994
  6. Step 6: Final answer
    x = 2,335,273.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.