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Finding the Third Proportional to 450,100 and 977,476

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Solution

The third proportional to 450,100 and 977,476 is: 2,122,771.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,100 : 977,476 = 977,476 : x
  2. Step 2: Convert to fraction form
    450,100/977,476 = 977,476/x
  3. Step 3: Cross multiply
    450,100x = 977,476 × 977,476
  4. Step 4: Simplify right side
    450,100x = 955,459,330,576
  5. Step 5: Solve for x
    x = 955,459,330,576/450,100
  6. Step 6: Final answer
    x = 2,122,771.23

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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.