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Finding the Third Proportional to 652,972 and 957,102

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Solution

The third proportional to 652,972 and 957,102 is: 1,402,884.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,972 : 957,102 = 957,102 : x
  2. Step 2: Convert to fraction form
    652,972/957,102 = 957,102/x
  3. Step 3: Cross multiply
    652,972x = 957,102 × 957,102
  4. Step 4: Simplify right side
    652,972x = 916,044,238,404
  5. Step 5: Solve for x
    x = 916,044,238,404/652,972
  6. Step 6: Final answer
    x = 1,402,884.41

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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.