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Finding the Third Proportional to 480,419 and 1,112,051

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Solution

The third proportional to 480,419 and 1,112,051 is: 2,574,122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,419 : 1,112,051 = 1,112,051 : x
  2. Step 2: Convert to fraction form
    480,419/1,112,051 = 1,112,051/x
  3. Step 3: Cross multiply
    480,419x = 1,112,051 × 1,112,051
  4. Step 4: Simplify right side
    480,419x = 1,236,657,426,601
  5. Step 5: Solve for x
    x = 1,236,657,426,601/480,419
  6. Step 6: Final answer
    x = 2,574,122.64

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.