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Finding the Third Proportional to 898,313 and 1,356,807

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Solution

The third proportional to 898,313 and 1,356,807 is: 2,049,313.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,313 : 1,356,807 = 1,356,807 : x
  2. Step 2: Convert to fraction form
    898,313/1,356,807 = 1,356,807/x
  3. Step 3: Cross multiply
    898,313x = 1,356,807 × 1,356,807
  4. Step 4: Simplify right side
    898,313x = 1,840,925,235,249
  5. Step 5: Solve for x
    x = 1,840,925,235,249/898,313
  6. Step 6: Final answer
    x = 2,049,313.81

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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.