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Finding the Third Proportional to 784,971 and 1,245,010.50

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Solution

The third proportional to 784,971 and 1,245,010.50 is: 1,974,660.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,971 : 1,245,010.50 = 1,245,010.50 : x
  2. Step 2: Convert to fraction form
    784,971/1,245,010.50 = 1,245,010.50/x
  3. Step 3: Cross multiply
    784,971x = 1,245,010.50 × 1,245,010.50
  4. Step 4: Simplify right side
    784,971x = 1,550,051,145,110.25
  5. Step 5: Solve for x
    x = 1,550,051,145,110.25/784,971
  6. Step 6: Final answer
    x = 1,974,660.40

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