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Finding the Third Proportional to 785,510 and 1,201,091

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Solution

The third proportional to 785,510 and 1,201,091 is: 1,836,538.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,510 : 1,201,091 = 1,201,091 : x
  2. Step 2: Convert to fraction form
    785,510/1,201,091 = 1,201,091/x
  3. Step 3: Cross multiply
    785,510x = 1,201,091 × 1,201,091
  4. Step 4: Simplify right side
    785,510x = 1,442,619,590,281
  5. Step 5: Solve for x
    x = 1,442,619,590,281/785,510
  6. Step 6: Final answer
    x = 1,836,538.80

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.