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Finding the Third Proportional to 783,354 and 1,056,931

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Solution

The third proportional to 783,354 and 1,056,931 is: 1,426,051.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,354 : 1,056,931 = 1,056,931 : x
  2. Step 2: Convert to fraction form
    783,354/1,056,931 = 1,056,931/x
  3. Step 3: Cross multiply
    783,354x = 1,056,931 × 1,056,931
  4. Step 4: Simplify right side
    783,354x = 1,117,103,138,761
  5. Step 5: Solve for x
    x = 1,117,103,138,761/783,354
  6. Step 6: Final answer
    x = 1,426,051.49

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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.