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Finding the Third Proportional to 684,942 and 1,074,433

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Solution

The third proportional to 684,942 and 1,074,433 is: 1,685,407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,942 : 1,074,433 = 1,074,433 : x
  2. Step 2: Convert to fraction form
    684,942/1,074,433 = 1,074,433/x
  3. Step 3: Cross multiply
    684,942x = 1,074,433 × 1,074,433
  4. Step 4: Simplify right side
    684,942x = 1,154,406,271,489
  5. Step 5: Solve for x
    x = 1,154,406,271,489/684,942
  6. Step 6: Final answer
    x = 1,685,407.34

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.