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Finding the Third Proportional to 450,532 and 975,420

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Solution

The third proportional to 450,532 and 975,420 is: 2,111,823.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,532 : 975,420 = 975,420 : x
  2. Step 2: Convert to fraction form
    450,532/975,420 = 975,420/x
  3. Step 3: Cross multiply
    450,532x = 975,420 × 975,420
  4. Step 4: Simplify right side
    450,532x = 951,444,176,400
  5. Step 5: Solve for x
    x = 951,444,176,400/450,532
  6. Step 6: Final answer
    x = 2,111,823.75

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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.