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Finding the Third Proportional to 933,120 and 2,047,032

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Solution

The third proportional to 933,120 and 2,047,032 is: 4,490,676.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,120 : 2,047,032 = 2,047,032 : x
  2. Step 2: Convert to fraction form
    933,120/2,047,032 = 2,047,032/x
  3. Step 3: Cross multiply
    933,120x = 2,047,032 × 2,047,032
  4. Step 4: Simplify right side
    933,120x = 4,190,340,009,024
  5. Step 5: Solve for x
    x = 4,190,340,009,024/933,120
  6. Step 6: Final answer
    x = 4,490,676.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.