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Finding the Third Proportional to 652,968 and 957,096

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Solution

The third proportional to 652,968 and 957,096 is: 1,402,875.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,968 : 957,096 = 957,096 : x
  2. Step 2: Convert to fraction form
    652,968/957,096 = 957,096/x
  3. Step 3: Cross multiply
    652,968x = 957,096 × 957,096
  4. Step 4: Simplify right side
    652,968x = 916,032,753,216
  5. Step 5: Solve for x
    x = 916,032,753,216/652,968
  6. Step 6: Final answer
    x = 1,402,875.41

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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.