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Finding the Third Proportional to 1,036,374.75 and 2,242,509.75

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Solution

The third proportional to 1,036,374.75 and 2,242,509.75 is: 4,852,347.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,374.75 : 2,242,509.75 = 2,242,509.75 : x
  2. Step 2: Convert to fraction form
    1,036,374.75/2,242,509.75 = 2,242,509.75/x
  3. Step 3: Cross multiply
    1,036,374.75x = 2,242,509.75 × 2,242,509.75
  4. Step 4: Simplify right side
    1,036,374.75x = 5,028,849,978,845.06
  5. Step 5: Solve for x
    x = 5,028,849,978,845.06/1,036,374.75
  6. Step 6: Final answer
    x = 4,852,347.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.