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Finding the Third Proportional to 783,876 and 1,145,565

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Solution

The third proportional to 783,876 and 1,145,565 is: 1,674,141.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,876 : 1,145,565 = 1,145,565 : x
  2. Step 2: Convert to fraction form
    783,876/1,145,565 = 1,145,565/x
  3. Step 3: Cross multiply
    783,876x = 1,145,565 × 1,145,565
  4. Step 4: Simplify right side
    783,876x = 1,312,319,169,225
  5. Step 5: Solve for x
    x = 1,312,319,169,225/783,876
  6. Step 6: Final answer
    x = 1,674,141.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.