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Finding the Third Proportional to 1,163,305 and 1,746,188.50

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Solution

The third proportional to 1,163,305 and 1,746,188.50 is: 2,621,130.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163,305 : 1,746,188.50 = 1,746,188.50 : x
  2. Step 2: Convert to fraction form
    1,163,305/1,746,188.50 = 1,746,188.50/x
  3. Step 3: Cross multiply
    1,163,305x = 1,746,188.50 × 1,746,188.50
  4. Step 4: Simplify right side
    1,163,305x = 3,049,174,277,532.25
  5. Step 5: Solve for x
    x = 3,049,174,277,532.25/1,163,305
  6. Step 6: Final answer
    x = 2,621,130.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.