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Finding the Third Proportional to 652,976 and 957,108

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Solution

The third proportional to 652,976 and 957,108 is: 1,402,893.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,976 : 957,108 = 957,108 : x
  2. Step 2: Convert to fraction form
    652,976/957,108 = 957,108/x
  3. Step 3: Cross multiply
    652,976x = 957,108 × 957,108
  4. Step 4: Simplify right side
    652,976x = 916,055,723,664
  5. Step 5: Solve for x
    x = 916,055,723,664/652,976
  6. Step 6: Final answer
    x = 1,402,893.40

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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.