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Finding the Third Proportional to 450,540 and 975,436

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Solution

The third proportional to 450,540 and 975,436 is: 2,111,855.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,540 : 975,436 = 975,436 : x
  2. Step 2: Convert to fraction form
    450,540/975,436 = 975,436/x
  3. Step 3: Cross multiply
    450,540x = 975,436 × 975,436
  4. Step 4: Simplify right side
    450,540x = 951,475,390,096
  5. Step 5: Solve for x
    x = 951,475,390,096/450,540
  6. Step 6: Final answer
    x = 2,111,855.53

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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.