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Finding the Third Proportional to 477,320 and 1,029,349

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Solution

The third proportional to 477,320 and 1,029,349 is: 2,219,809.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,320 : 1,029,349 = 1,029,349 : x
  2. Step 2: Convert to fraction form
    477,320/1,029,349 = 1,029,349/x
  3. Step 3: Cross multiply
    477,320x = 1,029,349 × 1,029,349
  4. Step 4: Simplify right side
    477,320x = 1,059,559,363,801
  5. Step 5: Solve for x
    x = 1,059,559,363,801/477,320
  6. Step 6: Final answer
    x = 2,219,809.28

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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.