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Finding the Third Proportional to 960,532 and 2,070,032

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Solution

The third proportional to 960,532 and 2,070,032 is: 4,461,103.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,532 : 2,070,032 = 2,070,032 : x
  2. Step 2: Convert to fraction form
    960,532/2,070,032 = 2,070,032/x
  3. Step 3: Cross multiply
    960,532x = 2,070,032 × 2,070,032
  4. Step 4: Simplify right side
    960,532x = 4,285,032,481,024
  5. Step 5: Solve for x
    x = 4,285,032,481,024/960,532
  6. Step 6: Final answer
    x = 4,461,103.31

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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.