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Finding the Third Proportional to 784,648 and 1,663,454

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Solution

The third proportional to 784,648 and 1,663,454 is: 3,526,522.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,648 : 1,663,454 = 1,663,454 : x
  2. Step 2: Convert to fraction form
    784,648/1,663,454 = 1,663,454/x
  3. Step 3: Cross multiply
    784,648x = 1,663,454 × 1,663,454
  4. Step 4: Simplify right side
    784,648x = 2,767,079,210,116
  5. Step 5: Solve for x
    x = 2,767,079,210,116/784,648
  6. Step 6: Final answer
    x = 3,526,522.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.