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Finding the Third Proportional to 719,664 and 1,056,168

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Solution

The third proportional to 719,664 and 1,056,168 is: 1,550,016.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,664 : 1,056,168 = 1,056,168 : x
  2. Step 2: Convert to fraction form
    719,664/1,056,168 = 1,056,168/x
  3. Step 3: Cross multiply
    719,664x = 1,056,168 × 1,056,168
  4. Step 4: Simplify right side
    719,664x = 1,115,490,844,224
  5. Step 5: Solve for x
    x = 1,115,490,844,224/719,664
  6. Step 6: Final answer
    x = 1,550,016.18

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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.