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Finding the Third Proportional to 719,672 and 1,056,156

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Solution

The third proportional to 719,672 and 1,056,156 is: 1,549,963.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,672 : 1,056,156 = 1,056,156 : x
  2. Step 2: Convert to fraction form
    719,672/1,056,156 = 1,056,156/x
  3. Step 3: Cross multiply
    719,672x = 1,056,156 × 1,056,156
  4. Step 4: Simplify right side
    719,672x = 1,115,465,496,336
  5. Step 5: Solve for x
    x = 1,115,465,496,336/719,672
  6. Step 6: Final answer
    x = 1,549,963.73

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