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Finding the Third Proportional to 882,132 and 1,297,360

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Solution

The third proportional to 882,132 and 1,297,360 is: 1,908,039.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,132 : 1,297,360 = 1,297,360 : x
  2. Step 2: Convert to fraction form
    882,132/1,297,360 = 1,297,360/x
  3. Step 3: Cross multiply
    882,132x = 1,297,360 × 1,297,360
  4. Step 4: Simplify right side
    882,132x = 1,683,142,969,600
  5. Step 5: Solve for x
    x = 1,683,142,969,600/882,132
  6. Step 6: Final answer
    x = 1,908,039.81

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.