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Finding the Third Proportional to 746,648 and 1,009,380

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Solution

The third proportional to 746,648 and 1,009,380 is: 1,364,562.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,648 : 1,009,380 = 1,009,380 : x
  2. Step 2: Convert to fraction form
    746,648/1,009,380 = 1,009,380/x
  3. Step 3: Cross multiply
    746,648x = 1,009,380 × 1,009,380
  4. Step 4: Simplify right side
    746,648x = 1,018,847,984,400
  5. Step 5: Solve for x
    x = 1,018,847,984,400/746,648
  6. Step 6: Final answer
    x = 1,364,562.66

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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.