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Finding the Third Proportional to 1,252,982 and 1,908,847.50

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Solution

The third proportional to 1,252,982 and 1,908,847.50 is: 2,908,021.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252,982 : 1,908,847.50 = 1,908,847.50 : x
  2. Step 2: Convert to fraction form
    1,252,982/1,908,847.50 = 1,908,847.50/x
  3. Step 3: Cross multiply
    1,252,982x = 1,908,847.50 × 1,908,847.50
  4. Step 4: Simplify right side
    1,252,982x = 3,643,698,778,256.25
  5. Step 5: Solve for x
    x = 3,643,698,778,256.25/1,252,982
  6. Step 6: Final answer
    x = 2,908,021.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.