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Finding the Third Proportional to 762,110 and 1,122,111

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Solution

The third proportional to 762,110 and 1,122,111 is: 1,652,167.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,110 : 1,122,111 = 1,122,111 : x
  2. Step 2: Convert to fraction form
    762,110/1,122,111 = 1,122,111/x
  3. Step 3: Cross multiply
    762,110x = 1,122,111 × 1,122,111
  4. Step 4: Simplify right side
    762,110x = 1,259,133,096,321
  5. Step 5: Solve for x
    x = 1,259,133,096,321/762,110
  6. Step 6: Final answer
    x = 1,652,167.14

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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.