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Finding the Third Proportional to 841,567.50 and 1,851,257.25

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Solution

The third proportional to 841,567.50 and 1,851,257.25 is: 4,072,345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,567.50 : 1,851,257.25 = 1,851,257.25 : x
  2. Step 2: Convert to fraction form
    841,567.50/1,851,257.25 = 1,851,257.25/x
  3. Step 3: Cross multiply
    841,567.50x = 1,851,257.25 × 1,851,257.25
  4. Step 4: Simplify right side
    841,567.50x = 3,427,153,405,677.56
  5. Step 5: Solve for x
    x = 3,427,153,405,677.56/841,567.50
  6. Step 6: Final answer
    x = 4,072,345.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.