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Finding the Third Proportional to 532,008 and 1,133,028

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Solution

The third proportional to 532,008 and 1,133,028 is: 2,413,032.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,008 : 1,133,028 = 1,133,028 : x
  2. Step 2: Convert to fraction form
    532,008/1,133,028 = 1,133,028/x
  3. Step 3: Cross multiply
    532,008x = 1,133,028 × 1,133,028
  4. Step 4: Simplify right side
    532,008x = 1,283,752,448,784
  5. Step 5: Solve for x
    x = 1,283,752,448,784/532,008
  6. Step 6: Final answer
    x = 2,413,032.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.