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Finding the Third Proportional to 1,130,340 and 1,584,170

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Solution

The third proportional to 1,130,340 and 1,584,170 is: 2,220,212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130,340 : 1,584,170 = 1,584,170 : x
  2. Step 2: Convert to fraction form
    1,130,340/1,584,170 = 1,584,170/x
  3. Step 3: Cross multiply
    1,130,340x = 1,584,170 × 1,584,170
  4. Step 4: Simplify right side
    1,130,340x = 2,509,594,588,900
  5. Step 5: Solve for x
    x = 2,509,594,588,900/1,130,340
  6. Step 6: Final answer
    x = 2,220,212.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.