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Finding the Third Proportional to 916,236 and 1,972,953

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Solution

The third proportional to 916,236 and 1,972,953 is: 4,248,407.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,236 : 1,972,953 = 1,972,953 : x
  2. Step 2: Convert to fraction form
    916,236/1,972,953 = 1,972,953/x
  3. Step 3: Cross multiply
    916,236x = 1,972,953 × 1,972,953
  4. Step 4: Simplify right side
    916,236x = 3,892,543,540,209
  5. Step 5: Solve for x
    x = 3,892,543,540,209/916,236
  6. Step 6: Final answer
    x = 4,248,407.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.