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Finding the Third Proportional to 654,464 and 895,582

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Solution

The third proportional to 654,464 and 895,582 is: 1,225,532.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,464 : 895,582 = 895,582 : x
  2. Step 2: Convert to fraction form
    654,464/895,582 = 895,582/x
  3. Step 3: Cross multiply
    654,464x = 895,582 × 895,582
  4. Step 4: Simplify right side
    654,464x = 802,067,118,724
  5. Step 5: Solve for x
    x = 802,067,118,724/654,464
  6. Step 6: Final answer
    x = 1,225,532.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.