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Finding the Third Proportional to 450,132 and 977,544

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Solution

The third proportional to 450,132 and 977,544 is: 2,122,915.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,132 : 977,544 = 977,544 : x
  2. Step 2: Convert to fraction form
    450,132/977,544 = 977,544/x
  3. Step 3: Cross multiply
    450,132x = 977,544 × 977,544
  4. Step 4: Simplify right side
    450,132x = 955,592,271,936
  5. Step 5: Solve for x
    x = 955,592,271,936/450,132
  6. Step 6: Final answer
    x = 2,122,915.66

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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.