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Finding the Third Proportional to 785,076 and 1,245,153

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Solution

The third proportional to 785,076 and 1,245,153 is: 1,974,848.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,076 : 1,245,153 = 1,245,153 : x
  2. Step 2: Convert to fraction form
    785,076/1,245,153 = 1,245,153/x
  3. Step 3: Cross multiply
    785,076x = 1,245,153 × 1,245,153
  4. Step 4: Simplify right side
    785,076x = 1,550,405,993,409
  5. Step 5: Solve for x
    x = 1,550,405,993,409/785,076
  6. Step 6: Final answer
    x = 1,974,848.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.