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Finding the Third Proportional to 719,664 and 1,056,144

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Solution

The third proportional to 719,664 and 1,056,144 is: 1,549,945.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,664 : 1,056,144 = 1,056,144 : x
  2. Step 2: Convert to fraction form
    719,664/1,056,144 = 1,056,144/x
  3. Step 3: Cross multiply
    719,664x = 1,056,144 × 1,056,144
  4. Step 4: Simplify right side
    719,664x = 1,115,440,148,736
  5. Step 5: Solve for x
    x = 1,115,440,148,736/719,664
  6. Step 6: Final answer
    x = 1,549,945.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.