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Finding the Third Proportional to 779,904 and 1,700,832

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Solution

The third proportional to 779,904 and 1,700,832 is: 3,709,212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,904 : 1,700,832 = 1,700,832 : x
  2. Step 2: Convert to fraction form
    779,904/1,700,832 = 1,700,832/x
  3. Step 3: Cross multiply
    779,904x = 1,700,832 × 1,700,832
  4. Step 4: Simplify right side
    779,904x = 2,892,829,492,224
  5. Step 5: Solve for x
    x = 2,892,829,492,224/779,904
  6. Step 6: Final answer
    x = 3,709,212.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.