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Finding the Third Proportional to 1,201,068 and 2,611,224

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Solution

The third proportional to 1,201,068 and 2,611,224 is: 5,677,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201,068 : 2,611,224 = 2,611,224 : x
  2. Step 2: Convert to fraction form
    1,201,068/2,611,224 = 2,611,224/x
  3. Step 3: Cross multiply
    1,201,068x = 2,611,224 × 2,611,224
  4. Step 4: Simplify right side
    1,201,068x = 6,818,490,778,176
  5. Step 5: Solve for x
    x = 6,818,490,778,176/1,201,068
  6. Step 6: Final answer
    x = 5,677,023.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.