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Finding the Third Proportional to 738,994 and 1,588,489

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Solution

The third proportional to 738,994 and 1,588,489 is: 3,414,503.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,994 : 1,588,489 = 1,588,489 : x
  2. Step 2: Convert to fraction form
    738,994/1,588,489 = 1,588,489/x
  3. Step 3: Cross multiply
    738,994x = 1,588,489 × 1,588,489
  4. Step 4: Simplify right side
    738,994x = 2,523,297,303,121
  5. Step 5: Solve for x
    x = 2,523,297,303,121/738,994
  6. Step 6: Final answer
    x = 3,414,503.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.