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Finding the Third Proportional to 1,540,572 and 2,362,842

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Solution

The third proportional to 1,540,572 and 2,362,842 is: 3,623,993.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540,572 : 2,362,842 = 2,362,842 : x
  2. Step 2: Convert to fraction form
    1,540,572/2,362,842 = 2,362,842/x
  3. Step 3: Cross multiply
    1,540,572x = 2,362,842 × 2,362,842
  4. Step 4: Simplify right side
    1,540,572x = 5,583,022,316,964
  5. Step 5: Solve for x
    x = 5,583,022,316,964/1,540,572
  6. Step 6: Final answer
    x = 3,623,993.11

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.