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Finding the Third Proportional to 916,234 and 1,398,043

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Solution

The third proportional to 916,234 and 1,398,043 is: 2,133,215.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,234 : 1,398,043 = 1,398,043 : x
  2. Step 2: Convert to fraction form
    916,234/1,398,043 = 1,398,043/x
  3. Step 3: Cross multiply
    916,234x = 1,398,043 × 1,398,043
  4. Step 4: Simplify right side
    916,234x = 1,954,524,229,849
  5. Step 5: Solve for x
    x = 1,954,524,229,849/916,234
  6. Step 6: Final answer
    x = 2,133,215.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.