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Finding the Third Proportional to 407,522 and 895,718

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Solution

The third proportional to 407,522 and 895,718 is: 1,968,754.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,522 : 895,718 = 895,718 : x
  2. Step 2: Convert to fraction form
    407,522/895,718 = 895,718/x
  3. Step 3: Cross multiply
    407,522x = 895,718 × 895,718
  4. Step 4: Simplify right side
    407,522x = 802,310,735,524
  5. Step 5: Solve for x
    x = 802,310,735,524/407,522
  6. Step 6: Final answer
    x = 1,968,754.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.