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Finding the Third Proportional to 2,074,185 and 4,502,466

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Solution

The third proportional to 2,074,185 and 4,502,466 is: 9,773,573.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074,185 : 4,502,466 = 4,502,466 : x
  2. Step 2: Convert to fraction form
    2,074,185/4,502,466 = 4,502,466/x
  3. Step 3: Cross multiply
    2,074,185x = 4,502,466 × 4,502,466
  4. Step 4: Simplify right side
    2,074,185x = 20,272,200,081,156
  5. Step 5: Solve for x
    x = 20,272,200,081,156/2,074,185
  6. Step 6: Final answer
    x = 9,773,573.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.