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Finding the Third Proportional to 907,664 and 1,955,370

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Solution

The third proportional to 907,664 and 1,955,370 is: 4,212,430.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,664 : 1,955,370 = 1,955,370 : x
  2. Step 2: Convert to fraction form
    907,664/1,955,370 = 1,955,370/x
  3. Step 3: Cross multiply
    907,664x = 1,955,370 × 1,955,370
  4. Step 4: Simplify right side
    907,664x = 3,823,471,836,900
  5. Step 5: Solve for x
    x = 3,823,471,836,900/907,664
  6. Step 6: Final answer
    x = 4,212,430.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.