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Finding the Third Proportional to 864,296 and 1,308,368

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Solution

The third proportional to 864,296 and 1,308,368 is: 1,980,602.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,296 : 1,308,368 = 1,308,368 : x
  2. Step 2: Convert to fraction form
    864,296/1,308,368 = 1,308,368/x
  3. Step 3: Cross multiply
    864,296x = 1,308,368 × 1,308,368
  4. Step 4: Simplify right side
    864,296x = 1,711,826,823,424
  5. Step 5: Solve for x
    x = 1,711,826,823,424/864,296
  6. Step 6: Final answer
    x = 1,980,602.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.