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Finding the Third Proportional to 783,369 and 1,056,951

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Solution

The third proportional to 783,369 and 1,056,951 is: 1,426,078.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,369 : 1,056,951 = 1,056,951 : x
  2. Step 2: Convert to fraction form
    783,369/1,056,951 = 1,056,951/x
  3. Step 3: Cross multiply
    783,369x = 1,056,951 × 1,056,951
  4. Step 4: Simplify right side
    783,369x = 1,117,145,416,401
  5. Step 5: Solve for x
    x = 1,117,145,416,401/783,369
  6. Step 6: Final answer
    x = 1,426,078.15

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.