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Finding the Third Proportional to 749,664 and 1,068,420

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Solution

The third proportional to 749,664 and 1,068,420 is: 1,522,710.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,664 : 1,068,420 = 1,068,420 : x
  2. Step 2: Convert to fraction form
    749,664/1,068,420 = 1,068,420/x
  3. Step 3: Cross multiply
    749,664x = 1,068,420 × 1,068,420
  4. Step 4: Simplify right side
    749,664x = 1,141,521,296,400
  5. Step 5: Solve for x
    x = 1,141,521,296,400/749,664
  6. Step 6: Final answer
    x = 1,522,710.57

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.