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Finding the Third Proportional to 589,520 and 1,263,160

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Solution

The third proportional to 589,520 and 1,263,160 is: 2,706,563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,520 : 1,263,160 = 1,263,160 : x
  2. Step 2: Convert to fraction form
    589,520/1,263,160 = 1,263,160/x
  3. Step 3: Cross multiply
    589,520x = 1,263,160 × 1,263,160
  4. Step 4: Simplify right side
    589,520x = 1,595,573,185,600
  5. Step 5: Solve for x
    x = 1,595,573,185,600/589,520
  6. Step 6: Final answer
    x = 2,706,563.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.