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Finding the Third Proportional to 531,038 and 1,146,883

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Solution

The third proportional to 531,038 and 1,146,883 is: 2,476,923.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,038 : 1,146,883 = 1,146,883 : x
  2. Step 2: Convert to fraction form
    531,038/1,146,883 = 1,146,883/x
  3. Step 3: Cross multiply
    531,038x = 1,146,883 × 1,146,883
  4. Step 4: Simplify right side
    531,038x = 1,315,340,615,689
  5. Step 5: Solve for x
    x = 1,315,340,615,689/531,038
  6. Step 6: Final answer
    x = 2,476,923.71

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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.