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Finding the Third Proportional to 599,151 and 1,304,106

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Solution

The third proportional to 599,151 and 1,304,106 is: 2,838,503.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,151 : 1,304,106 = 1,304,106 : x
  2. Step 2: Convert to fraction form
    599,151/1,304,106 = 1,304,106/x
  3. Step 3: Cross multiply
    599,151x = 1,304,106 × 1,304,106
  4. Step 4: Simplify right side
    599,151x = 1,700,692,459,236
  5. Step 5: Solve for x
    x = 1,700,692,459,236/599,151
  6. Step 6: Final answer
    x = 2,838,503.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.