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Finding the Third Proportional to 706,844 and 1,473,304

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Solution

The third proportional to 706,844 and 1,473,304 is: 3,070,868.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,844 : 1,473,304 = 1,473,304 : x
  2. Step 2: Convert to fraction form
    706,844/1,473,304 = 1,473,304/x
  3. Step 3: Cross multiply
    706,844x = 1,473,304 × 1,473,304
  4. Step 4: Simplify right side
    706,844x = 2,170,624,676,416
  5. Step 5: Solve for x
    x = 2,170,624,676,416/706,844
  6. Step 6: Final answer
    x = 3,070,868.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.