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Finding the Third Proportional to 665,012 and 1,004,502

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Solution

The third proportional to 665,012 and 1,004,502 is: 1,517,302.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,012 : 1,004,502 = 1,004,502 : x
  2. Step 2: Convert to fraction form
    665,012/1,004,502 = 1,004,502/x
  3. Step 3: Cross multiply
    665,012x = 1,004,502 × 1,004,502
  4. Step 4: Simplify right side
    665,012x = 1,009,024,268,004
  5. Step 5: Solve for x
    x = 1,009,024,268,004/665,012
  6. Step 6: Final answer
    x = 1,517,302.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.