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Finding the Third Proportional to 916,304 and 1,895,462

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Solution

The third proportional to 916,304 and 1,895,462 is: 3,920,943.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,304 : 1,895,462 = 1,895,462 : x
  2. Step 2: Convert to fraction form
    916,304/1,895,462 = 1,895,462/x
  3. Step 3: Cross multiply
    916,304x = 1,895,462 × 1,895,462
  4. Step 4: Simplify right side
    916,304x = 3,592,776,193,444
  5. Step 5: Solve for x
    x = 3,592,776,193,444/916,304
  6. Step 6: Final answer
    x = 3,920,943.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.