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Finding the Third Proportional to 477,120 and 1,028,968

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Solution

The third proportional to 477,120 and 1,028,968 is: 2,219,096.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,120 : 1,028,968 = 1,028,968 : x
  2. Step 2: Convert to fraction form
    477,120/1,028,968 = 1,028,968/x
  3. Step 3: Cross multiply
    477,120x = 1,028,968 × 1,028,968
  4. Step 4: Simplify right side
    477,120x = 1,058,775,145,024
  5. Step 5: Solve for x
    x = 1,058,775,145,024/477,120
  6. Step 6: Final answer
    x = 2,219,096.13

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Why These Related Problems?

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