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Finding the Third Proportional to 916,282 and 1,376,151

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Solution

The third proportional to 916,282 and 1,376,151 is: 2,066,821.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,282 : 1,376,151 = 1,376,151 : x
  2. Step 2: Convert to fraction form
    916,282/1,376,151 = 1,376,151/x
  3. Step 3: Cross multiply
    916,282x = 1,376,151 × 1,376,151
  4. Step 4: Simplify right side
    916,282x = 1,893,791,574,801
  5. Step 5: Solve for x
    x = 1,893,791,574,801/916,282
  6. Step 6: Final answer
    x = 2,066,821.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.