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Finding the Third Proportional to 908,948 and 1,405,974

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Solution

The third proportional to 908,948 and 1,405,974 is: 2,174,781.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,948 : 1,405,974 = 1,405,974 : x
  2. Step 2: Convert to fraction form
    908,948/1,405,974 = 1,405,974/x
  3. Step 3: Cross multiply
    908,948x = 1,405,974 × 1,405,974
  4. Step 4: Simplify right side
    908,948x = 1,976,762,888,676
  5. Step 5: Solve for x
    x = 1,976,762,888,676/908,948
  6. Step 6: Final answer
    x = 2,174,781.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.