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Finding the Third Proportional to 1,746,143.50 and 2,608,462

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Solution

The third proportional to 1,746,143.50 and 2,608,462 is: 3,896,629.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,143.50 : 2,608,462 = 2,608,462 : x
  2. Step 2: Convert to fraction form
    1,746,143.50/2,608,462 = 2,608,462/x
  3. Step 3: Cross multiply
    1,746,143.50x = 2,608,462 × 2,608,462
  4. Step 4: Simplify right side
    1,746,143.50x = 6,804,074,005,444
  5. Step 5: Solve for x
    x = 6,804,074,005,444/1,746,143.50
  6. Step 6: Final answer
    x = 3,896,629.35

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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.