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Finding the Third Proportional to 985,200 and 2,124,300

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Solution

The third proportional to 985,200 and 2,124,300 is: 4,580,441.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,200 : 2,124,300 = 2,124,300 : x
  2. Step 2: Convert to fraction form
    985,200/2,124,300 = 2,124,300/x
  3. Step 3: Cross multiply
    985,200x = 2,124,300 × 2,124,300
  4. Step 4: Simplify right side
    985,200x = 4,512,650,490,000
  5. Step 5: Solve for x
    x = 4,512,650,490,000/985,200
  6. Step 6: Final answer
    x = 4,580,441.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.