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Finding the Third Proportional to 680,985 and 1,030,945.50

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Solution

The third proportional to 680,985 and 1,030,945.50 is: 1,560,751.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,985 : 1,030,945.50 = 1,030,945.50 : x
  2. Step 2: Convert to fraction form
    680,985/1,030,945.50 = 1,030,945.50/x
  3. Step 3: Cross multiply
    680,985x = 1,030,945.50 × 1,030,945.50
  4. Step 4: Simplify right side
    680,985x = 1,062,848,623,970.25
  5. Step 5: Solve for x
    x = 1,062,848,623,970.25/680,985
  6. Step 6: Final answer
    x = 1,560,751.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.