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Finding the Third Proportional to 623,952 and 947,591

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Solution

The third proportional to 623,952 and 947,591 is: 1,439,099.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,952 : 947,591 = 947,591 : x
  2. Step 2: Convert to fraction form
    623,952/947,591 = 947,591/x
  3. Step 3: Cross multiply
    623,952x = 947,591 × 947,591
  4. Step 4: Simplify right side
    623,952x = 897,928,703,281
  5. Step 5: Solve for x
    x = 897,928,703,281/623,952
  6. Step 6: Final answer
    x = 1,439,099.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.