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Finding the Third Proportional to 2,069,516 and 3,091,532

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Solution

The third proportional to 2,069,516 and 3,091,532 is: 4,618,263.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069,516 : 3,091,532 = 3,091,532 : x
  2. Step 2: Convert to fraction form
    2,069,516/3,091,532 = 3,091,532/x
  3. Step 3: Cross multiply
    2,069,516x = 3,091,532 × 3,091,532
  4. Step 4: Simplify right side
    2,069,516x = 9,557,570,107,024
  5. Step 5: Solve for x
    x = 9,557,570,107,024/2,069,516
  6. Step 6: Final answer
    x = 4,618,263.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.