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Finding the Third Proportional to 477,471 and 1,029,664

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Solution

The third proportional to 477,471 and 1,029,664 is: 2,220,465.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,471 : 1,029,664 = 1,029,664 : x
  2. Step 2: Convert to fraction form
    477,471/1,029,664 = 1,029,664/x
  3. Step 3: Cross multiply
    477,471x = 1,029,664 × 1,029,664
  4. Step 4: Simplify right side
    477,471x = 1,060,207,952,896
  5. Step 5: Solve for x
    x = 1,060,207,952,896/477,471
  6. Step 6: Final answer
    x = 2,220,465.65

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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.