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Finding the Third Proportional to 477,116 and 1,028,960

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Solution

The third proportional to 477,116 and 1,028,960 is: 2,219,080.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,116 : 1,028,960 = 1,028,960 : x
  2. Step 2: Convert to fraction form
    477,116/1,028,960 = 1,028,960/x
  3. Step 3: Cross multiply
    477,116x = 1,028,960 × 1,028,960
  4. Step 4: Simplify right side
    477,116x = 1,058,758,681,600
  5. Step 5: Solve for x
    x = 1,058,758,681,600/477,116
  6. Step 6: Final answer
    x = 2,219,080.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.