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Finding the Third Proportional to 818,650 and 1,780,412

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Solution

The third proportional to 818,650 and 1,780,412 is: 3,872,066.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,650 : 1,780,412 = 1,780,412 : x
  2. Step 2: Convert to fraction form
    818,650/1,780,412 = 1,780,412/x
  3. Step 3: Cross multiply
    818,650x = 1,780,412 × 1,780,412
  4. Step 4: Simplify right side
    818,650x = 3,169,866,889,744
  5. Step 5: Solve for x
    x = 3,169,866,889,744/818,650
  6. Step 6: Final answer
    x = 3,872,066.07

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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.