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Finding the Third Proportional to 690,480 and 1,476,906

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Solution

The third proportional to 690,480 and 1,476,906 is: 3,159,036.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,480 : 1,476,906 = 1,476,906 : x
  2. Step 2: Convert to fraction form
    690,480/1,476,906 = 1,476,906/x
  3. Step 3: Cross multiply
    690,480x = 1,476,906 × 1,476,906
  4. Step 4: Simplify right side
    690,480x = 2,181,251,332,836
  5. Step 5: Solve for x
    x = 2,181,251,332,836/690,480
  6. Step 6: Final answer
    x = 3,159,036.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.