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Finding the Third Proportional to 812,964 and 1,207,655

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Solution

The third proportional to 812,964 and 1,207,655 is: 1,793,967.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,964 : 1,207,655 = 1,207,655 : x
  2. Step 2: Convert to fraction form
    812,964/1,207,655 = 1,207,655/x
  3. Step 3: Cross multiply
    812,964x = 1,207,655 × 1,207,655
  4. Step 4: Simplify right side
    812,964x = 1,458,430,599,025
  5. Step 5: Solve for x
    x = 1,458,430,599,025/812,964
  6. Step 6: Final answer
    x = 1,793,967.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.