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Finding the Third Proportional to 841,764 and 1,801,952

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Solution

The third proportional to 841,764 and 1,801,952 is: 3,857,412.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,764 : 1,801,952 = 1,801,952 : x
  2. Step 2: Convert to fraction form
    841,764/1,801,952 = 1,801,952/x
  3. Step 3: Cross multiply
    841,764x = 1,801,952 × 1,801,952
  4. Step 4: Simplify right side
    841,764x = 3,247,031,010,304
  5. Step 5: Solve for x
    x = 3,247,031,010,304/841,764
  6. Step 6: Final answer
    x = 3,857,412.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.