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Finding the Third Proportional to 420,776 and 908,944

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Solution

The third proportional to 420,776 and 908,944 is: 1,963,465.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,776 : 908,944 = 908,944 : x
  2. Step 2: Convert to fraction form
    420,776/908,944 = 908,944/x
  3. Step 3: Cross multiply
    420,776x = 908,944 × 908,944
  4. Step 4: Simplify right side
    420,776x = 826,179,195,136
  5. Step 5: Solve for x
    x = 826,179,195,136/420,776
  6. Step 6: Final answer
    x = 1,963,465.59

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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.