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Finding the Third Proportional to 971,946 and 2,005,995.38

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Solution

The third proportional to 971,946 and 2,005,995.38 is: 4,140,165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,946 : 2,005,995.38 = 2,005,995.38 : x
  2. Step 2: Convert to fraction form
    971,946/2,005,995.38 = 2,005,995.38/x
  3. Step 3: Cross multiply
    971,946x = 2,005,995.38 × 2,005,995.38
  4. Step 4: Simplify right side
    971,946x = 4,024,017,444,521.39
  5. Step 5: Solve for x
    x = 4,024,017,444,521.39/971,946
  6. Step 6: Final answer
    x = 4,140,165.65

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.