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Finding the Third Proportional to 567,461 and 843,151

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Solution

The third proportional to 567,461 and 843,151 is: 1,252,779.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,461 : 843,151 = 843,151 : x
  2. Step 2: Convert to fraction form
    567,461/843,151 = 843,151/x
  3. Step 3: Cross multiply
    567,461x = 843,151 × 843,151
  4. Step 4: Simplify right side
    567,461x = 710,903,608,801
  5. Step 5: Solve for x
    x = 710,903,608,801/567,461
  6. Step 6: Final answer
    x = 1,252,779.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.