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Finding the Third Proportional to 445,824 and 974,592

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Solution

The third proportional to 445,824 and 974,592 is: 2,130,503.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,824 : 974,592 = 974,592 : x
  2. Step 2: Convert to fraction form
    445,824/974,592 = 974,592/x
  3. Step 3: Cross multiply
    445,824x = 974,592 × 974,592
  4. Step 4: Simplify right side
    445,824x = 949,829,566,464
  5. Step 5: Solve for x
    x = 949,829,566,464/445,824
  6. Step 6: Final answer
    x = 2,130,503.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.