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Finding the Third Proportional to 783,348 and 1,056,922

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Solution

The third proportional to 783,348 and 1,056,922 is: 1,426,038.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,348 : 1,056,922 = 1,056,922 : x
  2. Step 2: Convert to fraction form
    783,348/1,056,922 = 1,056,922/x
  3. Step 3: Cross multiply
    783,348x = 1,056,922 × 1,056,922
  4. Step 4: Simplify right side
    783,348x = 1,117,084,114,084
  5. Step 5: Solve for x
    x = 1,117,084,114,084/783,348
  6. Step 6: Final answer
    x = 1,426,038.13

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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.