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Finding the Third Proportional to 1,605,964 and 2,364,577.50

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Solution

The third proportional to 1,605,964 and 2,364,577.50 is: 3,481,539.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,964 : 2,364,577.50 = 2,364,577.50 : x
  2. Step 2: Convert to fraction form
    1,605,964/2,364,577.50 = 2,364,577.50/x
  3. Step 3: Cross multiply
    1,605,964x = 2,364,577.50 × 2,364,577.50
  4. Step 4: Simplify right side
    1,605,964x = 5,591,226,753,506.25
  5. Step 5: Solve for x
    x = 5,591,226,753,506.25/1,605,964
  6. Step 6: Final answer
    x = 3,481,539.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.