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Finding the Third Proportional to 690,482 and 1,476,910

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Solution

The third proportional to 690,482 and 1,476,910 is: 3,159,044.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,482 : 1,476,910 = 1,476,910 : x
  2. Step 2: Convert to fraction form
    690,482/1,476,910 = 1,476,910/x
  3. Step 3: Cross multiply
    690,482x = 1,476,910 × 1,476,910
  4. Step 4: Simplify right side
    690,482x = 2,181,263,148,100
  5. Step 5: Solve for x
    x = 2,181,263,148,100/690,482
  6. Step 6: Final answer
    x = 3,159,044.19

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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.