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Finding the Third Proportional to 795,214 and 1,657,490

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Solution

The third proportional to 795,214 and 1,657,490 is: 3,454,759.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,214 : 1,657,490 = 1,657,490 : x
  2. Step 2: Convert to fraction form
    795,214/1,657,490 = 1,657,490/x
  3. Step 3: Cross multiply
    795,214x = 1,657,490 × 1,657,490
  4. Step 4: Simplify right side
    795,214x = 2,747,273,100,100
  5. Step 5: Solve for x
    x = 2,747,273,100,100/795,214
  6. Step 6: Final answer
    x = 3,454,759.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.