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Finding the Third Proportional to 1,768,565 and 3,789,489

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Solution

The third proportional to 1,768,565 and 3,789,489 is: 8,119,705.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768,565 : 3,789,489 = 3,789,489 : x
  2. Step 2: Convert to fraction form
    1,768,565/3,789,489 = 3,789,489/x
  3. Step 3: Cross multiply
    1,768,565x = 3,789,489 × 3,789,489
  4. Step 4: Simplify right side
    1,768,565x = 14,360,226,881,121
  5. Step 5: Solve for x
    x = 14,360,226,881,121/1,768,565
  6. Step 6: Final answer
    x = 8,119,705.46

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Why These Related Problems?

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