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Finding the Third Proportional to 783,849 and 1,211,434.50

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Solution

The third proportional to 783,849 and 1,211,434.50 is: 1,872,265.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,849 : 1,211,434.50 = 1,211,434.50 : x
  2. Step 2: Convert to fraction form
    783,849/1,211,434.50 = 1,211,434.50/x
  3. Step 3: Cross multiply
    783,849x = 1,211,434.50 × 1,211,434.50
  4. Step 4: Simplify right side
    783,849x = 1,467,573,547,790.25
  5. Step 5: Solve for x
    x = 1,467,573,547,790.25/783,849
  6. Step 6: Final answer
    x = 1,872,265.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.