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Finding the Third Proportional to 3,435,133.50 and 4,665,271.50

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Solution

The third proportional to 3,435,133.50 and 4,665,271.50 is: 6,335,927.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435,133.50 : 4,665,271.50 = 4,665,271.50 : x
  2. Step 2: Convert to fraction form
    3,435,133.50/4,665,271.50 = 4,665,271.50/x
  3. Step 3: Cross multiply
    3,435,133.50x = 4,665,271.50 × 4,665,271.50
  4. Step 4: Simplify right side
    3,435,133.50x = 21,764,758,168,712.25
  5. Step 5: Solve for x
    x = 21,764,758,168,712.25/3,435,133.50
  6. Step 6: Final answer
    x = 6,335,927.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.