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Finding the Third Proportional to 531,906 and 1,138,528

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Solution

The third proportional to 531,906 and 1,138,528 is: 2,436,983.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,906 : 1,138,528 = 1,138,528 : x
  2. Step 2: Convert to fraction form
    531,906/1,138,528 = 1,138,528/x
  3. Step 3: Cross multiply
    531,906x = 1,138,528 × 1,138,528
  4. Step 4: Simplify right side
    531,906x = 1,296,246,006,784
  5. Step 5: Solve for x
    x = 1,296,246,006,784/531,906
  6. Step 6: Final answer
    x = 2,436,983.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.