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Finding the Third Proportional to 1,576,615.22 and 3,447,670.50

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Solution

The third proportional to 1,576,615.22 and 3,447,670.50 is: 7,539,209.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576,615.22 : 3,447,670.50 = 3,447,670.50 : x
  2. Step 2: Convert to fraction form
    1,576,615.22/3,447,670.50 = 3,447,670.50/x
  3. Step 3: Cross multiply
    1,576,615.22x = 3,447,670.50 × 3,447,670.50
  4. Step 4: Simplify right side
    1,576,615.22x = 11,886,431,876,570.25
  5. Step 5: Solve for x
    x = 11,886,431,876,570.25/1,576,615.22
  6. Step 6: Final answer
    x = 7,539,209.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.