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Finding the Third Proportional to 889,762 and 1,919,492

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Solution

The third proportional to 889,762 and 1,919,492 is: 4,140,938.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,762 : 1,919,492 = 1,919,492 : x
  2. Step 2: Convert to fraction form
    889,762/1,919,492 = 1,919,492/x
  3. Step 3: Cross multiply
    889,762x = 1,919,492 × 1,919,492
  4. Step 4: Simplify right side
    889,762x = 3,684,449,538,064
  5. Step 5: Solve for x
    x = 3,684,449,538,064/889,762
  6. Step 6: Final answer
    x = 4,140,938.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.