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Finding the Third Proportional to 595,664 and 907,536

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Solution

The third proportional to 595,664 and 907,536 is: 1,382,694.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,664 : 907,536 = 907,536 : x
  2. Step 2: Convert to fraction form
    595,664/907,536 = 907,536/x
  3. Step 3: Cross multiply
    595,664x = 907,536 × 907,536
  4. Step 4: Simplify right side
    595,664x = 823,621,591,296
  5. Step 5: Solve for x
    x = 823,621,591,296/595,664
  6. Step 6: Final answer
    x = 1,382,694.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.