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Finding the Third Proportional to 1,684,560.27 and 2,750,444.02

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Solution

The third proportional to 1,684,560.27 and 2,750,444.02 is: 4,490,751.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,560.27 : 2,750,444.02 = 2,750,444.02 : x
  2. Step 2: Convert to fraction form
    1,684,560.27/2,750,444.02 = 2,750,444.02/x
  3. Step 3: Cross multiply
    1,684,560.27x = 2,750,444.02 × 2,750,444.02
  4. Step 4: Simplify right side
    1,684,560.27x = 7,564,942,283,087.38
  5. Step 5: Solve for x
    x = 7,564,942,283,087.38/1,684,560.27
  6. Step 6: Final answer
    x = 4,490,751.93

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.