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Finding the Third Proportional to 822,798 and 1,242,969

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Solution

The third proportional to 822,798 and 1,242,969 is: 1,877,705.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,798 : 1,242,969 = 1,242,969 : x
  2. Step 2: Convert to fraction form
    822,798/1,242,969 = 1,242,969/x
  3. Step 3: Cross multiply
    822,798x = 1,242,969 × 1,242,969
  4. Step 4: Simplify right side
    822,798x = 1,544,971,934,961
  5. Step 5: Solve for x
    x = 1,544,971,934,961/822,798
  6. Step 6: Final answer
    x = 1,877,705.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.