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Finding the Third Proportional to 424,664 and 924,256

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Solution

The third proportional to 424,664 and 924,256 is: 2,011,588.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,664 : 924,256 = 924,256 : x
  2. Step 2: Convert to fraction form
    424,664/924,256 = 924,256/x
  3. Step 3: Cross multiply
    424,664x = 924,256 × 924,256
  4. Step 4: Simplify right side
    424,664x = 854,249,153,536
  5. Step 5: Solve for x
    x = 854,249,153,536/424,664
  6. Step 6: Final answer
    x = 2,011,588.35

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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.