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Finding the Third Proportional to 1,191,012 and 2,596,168

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Solution

The third proportional to 1,191,012 and 2,596,168 is: 5,659,127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191,012 : 2,596,168 = 2,596,168 : x
  2. Step 2: Convert to fraction form
    1,191,012/2,596,168 = 2,596,168/x
  3. Step 3: Cross multiply
    1,191,012x = 2,596,168 × 2,596,168
  4. Step 4: Simplify right side
    1,191,012x = 6,740,088,284,224
  5. Step 5: Solve for x
    x = 6,740,088,284,224/1,191,012
  6. Step 6: Final answer
    x = 5,659,127.10

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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.