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Finding the Third Proportional to 745,712 and 1,162,740

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Solution

The third proportional to 745,712 and 1,162,740 is: 1,812,984.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,712 : 1,162,740 = 1,162,740 : x
  2. Step 2: Convert to fraction form
    745,712/1,162,740 = 1,162,740/x
  3. Step 3: Cross multiply
    745,712x = 1,162,740 × 1,162,740
  4. Step 4: Simplify right side
    745,712x = 1,351,964,307,600
  5. Step 5: Solve for x
    x = 1,351,964,307,600/745,712
  6. Step 6: Final answer
    x = 1,812,984.51

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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.