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Finding the Third Proportional to 898,743 and 1,264,141.50

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Solution

The third proportional to 898,743 and 1,264,141.50 is: 1,778,098.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,743 : 1,264,141.50 = 1,264,141.50 : x
  2. Step 2: Convert to fraction form
    898,743/1,264,141.50 = 1,264,141.50/x
  3. Step 3: Cross multiply
    898,743x = 1,264,141.50 × 1,264,141.50
  4. Step 4: Simplify right side
    898,743x = 1,598,053,732,022.25
  5. Step 5: Solve for x
    x = 1,598,053,732,022.25/898,743
  6. Step 6: Final answer
    x = 1,778,098.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.