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Finding the Third Proportional to 1,023,312 and 2,171,304

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Solution

The third proportional to 1,023,312 and 2,171,304 is: 4,607,158.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,312 : 2,171,304 = 2,171,304 : x
  2. Step 2: Convert to fraction form
    1,023,312/2,171,304 = 2,171,304/x
  3. Step 3: Cross multiply
    1,023,312x = 2,171,304 × 2,171,304
  4. Step 4: Simplify right side
    1,023,312x = 4,714,561,060,416
  5. Step 5: Solve for x
    x = 4,714,561,060,416/1,023,312
  6. Step 6: Final answer
    x = 4,607,158.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.