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Finding the Third Proportional to 560,412 and 1,216,084

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Solution

The third proportional to 560,412 and 1,216,084 is: 2,638,880.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,412 : 1,216,084 = 1,216,084 : x
  2. Step 2: Convert to fraction form
    560,412/1,216,084 = 1,216,084/x
  3. Step 3: Cross multiply
    560,412x = 1,216,084 × 1,216,084
  4. Step 4: Simplify right side
    560,412x = 1,478,860,295,056
  5. Step 5: Solve for x
    x = 1,478,860,295,056/560,412
  6. Step 6: Final answer
    x = 2,638,880.49

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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.