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Finding the Third Proportional to 597,882 and 907,894

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Solution

The third proportional to 597,882 and 907,894 is: 1,378,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,882 : 907,894 = 907,894 : x
  2. Step 2: Convert to fraction form
    597,882/907,894 = 907,894/x
  3. Step 3: Cross multiply
    597,882x = 907,894 × 907,894
  4. Step 4: Simplify right side
    597,882x = 824,271,515,236
  5. Step 5: Solve for x
    x = 824,271,515,236/597,882
  6. Step 6: Final answer
    x = 1,378,652.50

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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.