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Finding the Third Proportional to 472,784 and 1,021,348

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Solution

The third proportional to 472,784 and 1,021,348 is: 2,206,402.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,784 : 1,021,348 = 1,021,348 : x
  2. Step 2: Convert to fraction form
    472,784/1,021,348 = 1,021,348/x
  3. Step 3: Cross multiply
    472,784x = 1,021,348 × 1,021,348
  4. Step 4: Simplify right side
    472,784x = 1,043,151,737,104
  5. Step 5: Solve for x
    x = 1,043,151,737,104/472,784
  6. Step 6: Final answer
    x = 2,206,402.37

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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.