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Finding the Third Proportional to 589,770 and 895,599

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Solution

The third proportional to 589,770 and 895,599 is: 1,360,017.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,770 : 895,599 = 895,599 : x
  2. Step 2: Convert to fraction form
    589,770/895,599 = 895,599/x
  3. Step 3: Cross multiply
    589,770x = 895,599 × 895,599
  4. Step 4: Simplify right side
    589,770x = 802,097,568,801
  5. Step 5: Solve for x
    x = 802,097,568,801/589,770
  6. Step 6: Final answer
    x = 1,360,017.58

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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.