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Finding the Third Proportional to 1,038,738 and 1,564,945

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Solution

The third proportional to 1,038,738 and 1,564,945 is: 2,357,719.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038,738 : 1,564,945 = 1,564,945 : x
  2. Step 2: Convert to fraction form
    1,038,738/1,564,945 = 1,564,945/x
  3. Step 3: Cross multiply
    1,038,738x = 1,564,945 × 1,564,945
  4. Step 4: Simplify right side
    1,038,738x = 2,449,052,853,025
  5. Step 5: Solve for x
    x = 2,449,052,853,025/1,038,738
  6. Step 6: Final answer
    x = 2,357,719.51

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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.