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Finding the Third Proportional to 540,095 and 1,163,290

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Solution

The third proportional to 540,095 and 1,163,290 is: 2,505,565.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,095 : 1,163,290 = 1,163,290 : x
  2. Step 2: Convert to fraction form
    540,095/1,163,290 = 1,163,290/x
  3. Step 3: Cross multiply
    540,095x = 1,163,290 × 1,163,290
  4. Step 4: Simplify right side
    540,095x = 1,353,243,624,100
  5. Step 5: Solve for x
    x = 1,353,243,624,100/540,095
  6. Step 6: Final answer
    x = 2,505,565.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.