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Finding the Third Proportional to 649,539 and 1,020,276

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Solution

The third proportional to 649,539 and 1,020,276 is: 1,602,618.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,539 : 1,020,276 = 1,020,276 : x
  2. Step 2: Convert to fraction form
    649,539/1,020,276 = 1,020,276/x
  3. Step 3: Cross multiply
    649,539x = 1,020,276 × 1,020,276
  4. Step 4: Simplify right side
    649,539x = 1,040,963,116,176
  5. Step 5: Solve for x
    x = 1,040,963,116,176/649,539
  6. Step 6: Final answer
    x = 1,602,618.34

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.