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Finding the Third Proportional to 532,824 and 1,133,472

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Solution

The third proportional to 532,824 and 1,133,472 is: 2,411,225.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,824 : 1,133,472 = 1,133,472 : x
  2. Step 2: Convert to fraction form
    532,824/1,133,472 = 1,133,472/x
  3. Step 3: Cross multiply
    532,824x = 1,133,472 × 1,133,472
  4. Step 4: Simplify right side
    532,824x = 1,284,758,774,784
  5. Step 5: Solve for x
    x = 1,284,758,774,784/532,824
  6. Step 6: Final answer
    x = 2,411,225.42

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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.