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Finding the Third Proportional to 1,374,352.50 and 2,097,066.75

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Solution

The third proportional to 1,374,352.50 and 2,097,066.75 is: 3,199,826.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374,352.50 : 2,097,066.75 = 2,097,066.75 : x
  2. Step 2: Convert to fraction form
    1,374,352.50/2,097,066.75 = 2,097,066.75/x
  3. Step 3: Cross multiply
    1,374,352.50x = 2,097,066.75 × 2,097,066.75
  4. Step 4: Simplify right side
    1,374,352.50x = 4,397,688,953,955.56
  5. Step 5: Solve for x
    x = 4,397,688,953,955.56/1,374,352.50
  6. Step 6: Final answer
    x = 3,199,826.07

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Why These Related Problems?

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