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Finding the Third Proportional to 531,098 and 1,146,712

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Solution

The third proportional to 531,098 and 1,146,712 is: 2,475,905.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,098 : 1,146,712 = 1,146,712 : x
  2. Step 2: Convert to fraction form
    531,098/1,146,712 = 1,146,712/x
  3. Step 3: Cross multiply
    531,098x = 1,146,712 × 1,146,712
  4. Step 4: Simplify right side
    531,098x = 1,314,948,410,944
  5. Step 5: Solve for x
    x = 1,314,948,410,944/531,098
  6. Step 6: Final answer
    x = 2,475,905.41

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Why These Related Problems?

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