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Finding the Third Proportional to 450,101 and 976,475

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Solution

The third proportional to 450,101 and 976,475 is: 2,118,421.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,101 : 976,475 = 976,475 : x
  2. Step 2: Convert to fraction form
    450,101/976,475 = 976,475/x
  3. Step 3: Cross multiply
    450,101x = 976,475 × 976,475
  4. Step 4: Simplify right side
    450,101x = 953,503,425,625
  5. Step 5: Solve for x
    x = 953,503,425,625/450,101
  6. Step 6: Final answer
    x = 2,118,421.03

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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.