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Finding the Third Proportional to 914,142 and 1,985,532

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Solution

The third proportional to 914,142 and 1,985,532 is: 4,312,609.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,142 : 1,985,532 = 1,985,532 : x
  2. Step 2: Convert to fraction form
    914,142/1,985,532 = 1,985,532/x
  3. Step 3: Cross multiply
    914,142x = 1,985,532 × 1,985,532
  4. Step 4: Simplify right side
    914,142x = 3,942,337,323,024
  5. Step 5: Solve for x
    x = 3,942,337,323,024/914,142
  6. Step 6: Final answer
    x = 4,312,609.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.