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Finding the Third Proportional to 417,288 and 901,095

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Solution

The third proportional to 417,288 and 901,095 is: 1,945,831.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,288 : 901,095 = 901,095 : x
  2. Step 2: Convert to fraction form
    417,288/901,095 = 901,095/x
  3. Step 3: Cross multiply
    417,288x = 901,095 × 901,095
  4. Step 4: Simplify right side
    417,288x = 811,972,199,025
  5. Step 5: Solve for x
    x = 811,972,199,025/417,288
  6. Step 6: Final answer
    x = 1,945,831.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.