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Finding the Third Proportional to 1,222,366.50 and 2,657,548.50

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Solution

The third proportional to 1,222,366.50 and 2,657,548.50 is: 5,777,779.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222,366.50 : 2,657,548.50 = 2,657,548.50 : x
  2. Step 2: Convert to fraction form
    1,222,366.50/2,657,548.50 = 2,657,548.50/x
  3. Step 3: Cross multiply
    1,222,366.50x = 2,657,548.50 × 2,657,548.50
  4. Step 4: Simplify right side
    1,222,366.50x = 7,062,564,029,852.25
  5. Step 5: Solve for x
    x = 7,062,564,029,852.25/1,222,366.50
  6. Step 6: Final answer
    x = 5,777,779.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.