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Finding the Third Proportional to 531,096 and 1,146,708

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Solution

The third proportional to 531,096 and 1,146,708 is: 2,475,897.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,096 : 1,146,708 = 1,146,708 : x
  2. Step 2: Convert to fraction form
    531,096/1,146,708 = 1,146,708/x
  3. Step 3: Cross multiply
    531,096x = 1,146,708 × 1,146,708
  4. Step 4: Simplify right side
    531,096x = 1,314,939,237,264
  5. Step 5: Solve for x
    x = 1,314,939,237,264/531,096
  6. Step 6: Final answer
    x = 2,475,897.46

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.