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Finding the Third Proportional to 658,556 and 1,415,296

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Solution

The third proportional to 658,556 and 1,415,296 is: 3,041,598.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,556 : 1,415,296 = 1,415,296 : x
  2. Step 2: Convert to fraction form
    658,556/1,415,296 = 1,415,296/x
  3. Step 3: Cross multiply
    658,556x = 1,415,296 × 1,415,296
  4. Step 4: Simplify right side
    658,556x = 2,003,062,767,616
  5. Step 5: Solve for x
    x = 2,003,062,767,616/658,556
  6. Step 6: Final answer
    x = 3,041,598.24

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