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Finding the Third Proportional to 790,944 and 1,706,304

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Solution

The third proportional to 790,944 and 1,706,304 is: 3,681,010.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,944 : 1,706,304 = 1,706,304 : x
  2. Step 2: Convert to fraction form
    790,944/1,706,304 = 1,706,304/x
  3. Step 3: Cross multiply
    790,944x = 1,706,304 × 1,706,304
  4. Step 4: Simplify right side
    790,944x = 2,911,473,340,416
  5. Step 5: Solve for x
    x = 2,911,473,340,416/790,944
  6. Step 6: Final answer
    x = 3,681,010.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.