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Finding the Third Proportional to 872,354 and 1,776,784

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Solution

The third proportional to 872,354 and 1,776,784 is: 3,618,899.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,354 : 1,776,784 = 1,776,784 : x
  2. Step 2: Convert to fraction form
    872,354/1,776,784 = 1,776,784/x
  3. Step 3: Cross multiply
    872,354x = 1,776,784 × 1,776,784
  4. Step 4: Simplify right side
    872,354x = 3,156,961,382,656
  5. Step 5: Solve for x
    x = 3,156,961,382,656/872,354
  6. Step 6: Final answer
    x = 3,618,899.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.