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Finding the Third Proportional to 931,724 and 1,406,446

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Solution

The third proportional to 931,724 and 1,406,446 is: 2,123,043.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,724 : 1,406,446 = 1,406,446 : x
  2. Step 2: Convert to fraction form
    931,724/1,406,446 = 1,406,446/x
  3. Step 3: Cross multiply
    931,724x = 1,406,446 × 1,406,446
  4. Step 4: Simplify right side
    931,724x = 1,978,090,350,916
  5. Step 5: Solve for x
    x = 1,978,090,350,916/931,724
  6. Step 6: Final answer
    x = 2,123,043.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.