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Finding the Third Proportional to 2,123,070 and 3,121,965

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Solution

The third proportional to 2,123,070 and 3,121,965 is: 4,590,835.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123,070 : 3,121,965 = 3,121,965 : x
  2. Step 2: Convert to fraction form
    2,123,070/3,121,965 = 3,121,965/x
  3. Step 3: Cross multiply
    2,123,070x = 3,121,965 × 3,121,965
  4. Step 4: Simplify right side
    2,123,070x = 9,746,665,461,225
  5. Step 5: Solve for x
    x = 9,746,665,461,225/2,123,070
  6. Step 6: Final answer
    x = 4,590,835.66

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.