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Finding the Third Proportional to 472,004 and 1,022,712

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Solution

The third proportional to 472,004 and 1,022,712 is: 2,215,955.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,004 : 1,022,712 = 1,022,712 : x
  2. Step 2: Convert to fraction form
    472,004/1,022,712 = 1,022,712/x
  3. Step 3: Cross multiply
    472,004x = 1,022,712 × 1,022,712
  4. Step 4: Simplify right side
    472,004x = 1,045,939,834,944
  5. Step 5: Solve for x
    x = 1,045,939,834,944/472,004
  6. Step 6: Final answer
    x = 2,215,955.45

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