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Finding the Third Proportional to 656,440 and 1,406,192

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Solution

The third proportional to 656,440 and 1,406,192 is: 3,012,272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,440 : 1,406,192 = 1,406,192 : x
  2. Step 2: Convert to fraction form
    656,440/1,406,192 = 1,406,192/x
  3. Step 3: Cross multiply
    656,440x = 1,406,192 × 1,406,192
  4. Step 4: Simplify right side
    656,440x = 1,977,375,940,864
  5. Step 5: Solve for x
    x = 1,977,375,940,864/656,440
  6. Step 6: Final answer
    x = 3,012,272.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.