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Finding the Third Proportional to 768,420 and 1,234,646

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Solution

The third proportional to 768,420 and 1,234,646 is: 1,983,746.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,420 : 1,234,646 = 1,234,646 : x
  2. Step 2: Convert to fraction form
    768,420/1,234,646 = 1,234,646/x
  3. Step 3: Cross multiply
    768,420x = 1,234,646 × 1,234,646
  4. Step 4: Simplify right side
    768,420x = 1,524,350,745,316
  5. Step 5: Solve for x
    x = 1,524,350,745,316/768,420
  6. Step 6: Final answer
    x = 1,983,746.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.