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Finding the Third Proportional to 612,496 and 901,239

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Solution

The third proportional to 612,496 and 901,239 is: 1,326,101.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,496 : 901,239 = 901,239 : x
  2. Step 2: Convert to fraction form
    612,496/901,239 = 901,239/x
  3. Step 3: Cross multiply
    612,496x = 901,239 × 901,239
  4. Step 4: Simplify right side
    612,496x = 812,231,735,121
  5. Step 5: Solve for x
    x = 812,231,735,121/612,496
  6. Step 6: Final answer
    x = 1,326,101.29

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Why These Related Problems?

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