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Finding the Third Proportional to 895,914 and 1,949,292

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Solution

The third proportional to 895,914 and 1,949,292 is: 4,241,187.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,914 : 1,949,292 = 1,949,292 : x
  2. Step 2: Convert to fraction form
    895,914/1,949,292 = 1,949,292/x
  3. Step 3: Cross multiply
    895,914x = 1,949,292 × 1,949,292
  4. Step 4: Simplify right side
    895,914x = 3,799,739,301,264
  5. Step 5: Solve for x
    x = 3,799,739,301,264/895,914
  6. Step 6: Final answer
    x = 4,241,187.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.