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Finding the Third Proportional to 714,749 and 1,105,711.50

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Solution

The third proportional to 714,749 and 1,105,711.50 is: 1,710,527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,749 : 1,105,711.50 = 1,105,711.50 : x
  2. Step 2: Convert to fraction form
    714,749/1,105,711.50 = 1,105,711.50/x
  3. Step 3: Cross multiply
    714,749x = 1,105,711.50 × 1,105,711.50
  4. Step 4: Simplify right side
    714,749x = 1,222,597,921,232.25
  5. Step 5: Solve for x
    x = 1,222,597,921,232.25/714,749
  6. Step 6: Final answer
    x = 1,710,527.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.