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Finding the Third Proportional to 2,852,030.25 and 5,939,952.75

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Solution

The third proportional to 2,852,030.25 and 5,939,952.75 is: 12,371,200.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852,030.25 : 5,939,952.75 = 5,939,952.75 : x
  2. Step 2: Convert to fraction form
    2,852,030.25/5,939,952.75 = 5,939,952.75/x
  3. Step 3: Cross multiply
    2,852,030.25x = 5,939,952.75 × 5,939,952.75
  4. Step 4: Simplify right side
    2,852,030.25x = 35,283,038,672,232.56
  5. Step 5: Solve for x
    x = 35,283,038,672,232.56/2,852,030.25
  6. Step 6: Final answer
    x = 12,371,200.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.