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Finding the Third Proportional to 1,949,871 and 3,013,321.50

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Solution

The third proportional to 1,949,871 and 3,013,321.50 is: 4,656,772.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949,871 : 3,013,321.50 = 3,013,321.50 : x
  2. Step 2: Convert to fraction form
    1,949,871/3,013,321.50 = 3,013,321.50/x
  3. Step 3: Cross multiply
    1,949,871x = 3,013,321.50 × 3,013,321.50
  4. Step 4: Simplify right side
    1,949,871x = 9,080,106,462,362.25
  5. Step 5: Solve for x
    x = 9,080,106,462,362.25/1,949,871
  6. Step 6: Final answer
    x = 4,656,772.92

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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.