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Finding the Third Proportional to 849,703.50 and 1,848,820.50

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Solution

The third proportional to 849,703.50 and 1,848,820.50 is: 4,022,741.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,703.50 : 1,848,820.50 = 1,848,820.50 : x
  2. Step 2: Convert to fraction form
    849,703.50/1,848,820.50 = 1,848,820.50/x
  3. Step 3: Cross multiply
    849,703.50x = 1,848,820.50 × 1,848,820.50
  4. Step 4: Simplify right side
    849,703.50x = 3,418,137,241,220.25
  5. Step 5: Solve for x
    x = 3,418,137,241,220.25/849,703.50
  6. Step 6: Final answer
    x = 4,022,741.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.