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Finding the Third Proportional to 426,084 and 928,440

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Solution

The third proportional to 426,084 and 928,440 is: 2,023,077.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,084 : 928,440 = 928,440 : x
  2. Step 2: Convert to fraction form
    426,084/928,440 = 928,440/x
  3. Step 3: Cross multiply
    426,084x = 928,440 × 928,440
  4. Step 4: Simplify right side
    426,084x = 862,000,833,600
  5. Step 5: Solve for x
    x = 862,000,833,600/426,084
  6. Step 6: Final answer
    x = 2,023,077.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.