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Finding the Third Proportional to 1,417,742 and 3,111,058

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Solution

The third proportional to 1,417,742 and 3,111,058 is: 6,826,828.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417,742 : 3,111,058 = 3,111,058 : x
  2. Step 2: Convert to fraction form
    1,417,742/3,111,058 = 3,111,058/x
  3. Step 3: Cross multiply
    1,417,742x = 3,111,058 × 3,111,058
  4. Step 4: Simplify right side
    1,417,742x = 9,678,681,879,364
  5. Step 5: Solve for x
    x = 9,678,681,879,364/1,417,742
  6. Step 6: Final answer
    x = 6,826,828.77

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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.