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Finding the Third Proportional to 419,484 and 908,952

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Solution

The third proportional to 419,484 and 908,952 is: 1,969,547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,484 : 908,952 = 908,952 : x
  2. Step 2: Convert to fraction form
    419,484/908,952 = 908,952/x
  3. Step 3: Cross multiply
    419,484x = 908,952 × 908,952
  4. Step 4: Simplify right side
    419,484x = 826,193,738,304
  5. Step 5: Solve for x
    x = 826,193,738,304/419,484
  6. Step 6: Final answer
    x = 1,969,547.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.