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Finding the Third Proportional to 651,348 and 1,008,450

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Solution

The third proportional to 651,348 and 1,008,450 is: 1,561,333.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,348 : 1,008,450 = 1,008,450 : x
  2. Step 2: Convert to fraction form
    651,348/1,008,450 = 1,008,450/x
  3. Step 3: Cross multiply
    651,348x = 1,008,450 × 1,008,450
  4. Step 4: Simplify right side
    651,348x = 1,016,971,402,500
  5. Step 5: Solve for x
    x = 1,016,971,402,500/651,348
  6. Step 6: Final answer
    x = 1,561,333.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.