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Finding the Third Proportional to 416,291 and 895,731

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Solution

The third proportional to 416,291 and 895,731 is: 1,927,339.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,291 : 895,731 = 895,731 : x
  2. Step 2: Convert to fraction form
    416,291/895,731 = 895,731/x
  3. Step 3: Cross multiply
    416,291x = 895,731 × 895,731
  4. Step 4: Simplify right side
    416,291x = 802,334,024,361
  5. Step 5: Solve for x
    x = 802,334,024,361/416,291
  6. Step 6: Final answer
    x = 1,927,339.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.