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Finding the Third Proportional to 592,688 and 1,280,142

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Solution

The third proportional to 592,688 and 1,280,142 is: 2,764,968.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,688 : 1,280,142 = 1,280,142 : x
  2. Step 2: Convert to fraction form
    592,688/1,280,142 = 1,280,142/x
  3. Step 3: Cross multiply
    592,688x = 1,280,142 × 1,280,142
  4. Step 4: Simplify right side
    592,688x = 1,638,763,540,164
  5. Step 5: Solve for x
    x = 1,638,763,540,164/592,688
  6. Step 6: Final answer
    x = 2,764,968.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.