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Finding the Third Proportional to 492,650 and 1,066,270

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Solution

The third proportional to 492,650 and 1,066,270 is: 2,307,787.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,650 : 1,066,270 = 1,066,270 : x
  2. Step 2: Convert to fraction form
    492,650/1,066,270 = 1,066,270/x
  3. Step 3: Cross multiply
    492,650x = 1,066,270 × 1,066,270
  4. Step 4: Simplify right side
    492,650x = 1,136,931,712,900
  5. Step 5: Solve for x
    x = 1,136,931,712,900/492,650
  6. Step 6: Final answer
    x = 2,307,787.91

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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.