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Finding the Third Proportional to 584,832 and 1,256,688

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Solution

The third proportional to 584,832 and 1,256,688 is: 2,700,373.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,832 : 1,256,688 = 1,256,688 : x
  2. Step 2: Convert to fraction form
    584,832/1,256,688 = 1,256,688/x
  3. Step 3: Cross multiply
    584,832x = 1,256,688 × 1,256,688
  4. Step 4: Simplify right side
    584,832x = 1,579,264,729,344
  5. Step 5: Solve for x
    x = 1,579,264,729,344/584,832
  6. Step 6: Final answer
    x = 2,700,373.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.