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Finding the Third Proportional to 2,035,346 and 3,148,666.50

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Solution

The third proportional to 2,035,346 and 3,148,666.50 is: 4,870,965.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035,346 : 3,148,666.50 = 3,148,666.50 : x
  2. Step 2: Convert to fraction form
    2,035,346/3,148,666.50 = 3,148,666.50/x
  3. Step 3: Cross multiply
    2,035,346x = 3,148,666.50 × 3,148,666.50
  4. Step 4: Simplify right side
    2,035,346x = 9,914,100,728,222.25
  5. Step 5: Solve for x
    x = 9,914,100,728,222.25/2,035,346
  6. Step 6: Final answer
    x = 4,870,965.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.