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Finding the Third Proportional to 713,152 and 1,566,271

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Solution

The third proportional to 713,152 and 1,566,271 is: 3,439,946.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,152 : 1,566,271 = 1,566,271 : x
  2. Step 2: Convert to fraction form
    713,152/1,566,271 = 1,566,271/x
  3. Step 3: Cross multiply
    713,152x = 1,566,271 × 1,566,271
  4. Step 4: Simplify right side
    713,152x = 2,453,204,845,441
  5. Step 5: Solve for x
    x = 2,453,204,845,441/713,152
  6. Step 6: Final answer
    x = 3,439,946.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.