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Finding the Third Proportional to 932,782.50 and 1,977,662.25

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Solution

The third proportional to 932,782.50 and 1,977,662.25 is: 4,192,990.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,782.50 : 1,977,662.25 = 1,977,662.25 : x
  2. Step 2: Convert to fraction form
    932,782.50/1,977,662.25 = 1,977,662.25/x
  3. Step 3: Cross multiply
    932,782.50x = 1,977,662.25 × 1,977,662.25
  4. Step 4: Simplify right side
    932,782.50x = 3,911,147,975,075.06
  5. Step 5: Solve for x
    x = 3,911,147,975,075.06/932,782.50
  6. Step 6: Final answer
    x = 4,192,990.30

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.