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Finding the Third Proportional to 796,480 and 1,194,486

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Solution

The third proportional to 796,480 and 1,194,486 is: 1,791,378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,480 : 1,194,486 = 1,194,486 : x
  2. Step 2: Convert to fraction form
    796,480/1,194,486 = 1,194,486/x
  3. Step 3: Cross multiply
    796,480x = 1,194,486 × 1,194,486
  4. Step 4: Simplify right side
    796,480x = 1,426,796,804,196
  5. Step 5: Solve for x
    x = 1,426,796,804,196/796,480
  6. Step 6: Final answer
    x = 1,791,378.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.