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Finding the Third Proportional to 410,064 and 881,440

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Solution

The third proportional to 410,064 and 881,440 is: 1,894,671.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,064 : 881,440 = 881,440 : x
  2. Step 2: Convert to fraction form
    410,064/881,440 = 881,440/x
  3. Step 3: Cross multiply
    410,064x = 881,440 × 881,440
  4. Step 4: Simplify right side
    410,064x = 776,936,473,600
  5. Step 5: Solve for x
    x = 776,936,473,600/410,064
  6. Step 6: Final answer
    x = 1,894,671.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.