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Finding the Third Proportional to 1,417,824 and 3,111,240

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Solution

The third proportional to 1,417,824 and 3,111,240 is: 6,827,232.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417,824 : 3,111,240 = 3,111,240 : x
  2. Step 2: Convert to fraction form
    1,417,824/3,111,240 = 3,111,240/x
  3. Step 3: Cross multiply
    1,417,824x = 3,111,240 × 3,111,240
  4. Step 4: Simplify right side
    1,417,824x = 9,679,814,337,600
  5. Step 5: Solve for x
    x = 9,679,814,337,600/1,417,824
  6. Step 6: Final answer
    x = 6,827,232.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.