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Finding the Third Proportional to 745,673 and 1,166,495

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Solution

The third proportional to 745,673 and 1,166,495 is: 1,824,808.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,673 : 1,166,495 = 1,166,495 : x
  2. Step 2: Convert to fraction form
    745,673/1,166,495 = 1,166,495/x
  3. Step 3: Cross multiply
    745,673x = 1,166,495 × 1,166,495
  4. Step 4: Simplify right side
    745,673x = 1,360,710,585,025
  5. Step 5: Solve for x
    x = 1,360,710,585,025/745,673
  6. Step 6: Final answer
    x = 1,824,808.71

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.