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Finding the Third Proportional to 630,693 and 1,419,268.50

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Solution

The third proportional to 630,693 and 1,419,268.50 is: 3,193,825.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,693 : 1,419,268.50 = 1,419,268.50 : x
  2. Step 2: Convert to fraction form
    630,693/1,419,268.50 = 1,419,268.50/x
  3. Step 3: Cross multiply
    630,693x = 1,419,268.50 × 1,419,268.50
  4. Step 4: Simplify right side
    630,693x = 2,014,323,075,092.25
  5. Step 5: Solve for x
    x = 2,014,323,075,092.25/630,693
  6. Step 6: Final answer
    x = 3,193,825.01

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.