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Finding the Third Proportional to 916,172 and 1,426,608

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Solution

The third proportional to 916,172 and 1,426,608 is: 2,221,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,172 : 1,426,608 = 1,426,608 : x
  2. Step 2: Convert to fraction form
    916,172/1,426,608 = 1,426,608/x
  3. Step 3: Cross multiply
    916,172x = 1,426,608 × 1,426,608
  4. Step 4: Simplify right side
    916,172x = 2,035,210,385,664
  5. Step 5: Solve for x
    x = 2,035,210,385,664/916,172
  6. Step 6: Final answer
    x = 2,221,428.28

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.