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Finding the Third Proportional to 597,883 and 907,897

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Solution

The third proportional to 597,883 and 907,897 is: 1,378,659.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,883 : 907,897 = 907,897 : x
  2. Step 2: Convert to fraction form
    597,883/907,897 = 907,897/x
  3. Step 3: Cross multiply
    597,883x = 907,897 × 907,897
  4. Step 4: Simplify right side
    597,883x = 824,276,962,609
  5. Step 5: Solve for x
    x = 824,276,962,609/597,883
  6. Step 6: Final answer
    x = 1,378,659.31

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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.