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Finding the Third Proportional to 811,170 and 1,877,798

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Solution

The third proportional to 811,170 and 1,877,798 is: 4,346,962.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,170 : 1,877,798 = 1,877,798 : x
  2. Step 2: Convert to fraction form
    811,170/1,877,798 = 1,877,798/x
  3. Step 3: Cross multiply
    811,170x = 1,877,798 × 1,877,798
  4. Step 4: Simplify right side
    811,170x = 3,526,125,328,804
  5. Step 5: Solve for x
    x = 3,526,125,328,804/811,170
  6. Step 6: Final answer
    x = 4,346,962.20

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.