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Finding the Third Proportional to 652,440 and 1,433,184

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Solution

The third proportional to 652,440 and 1,433,184 is: 3,148,207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,440 : 1,433,184 = 1,433,184 : x
  2. Step 2: Convert to fraction form
    652,440/1,433,184 = 1,433,184/x
  3. Step 3: Cross multiply
    652,440x = 1,433,184 × 1,433,184
  4. Step 4: Simplify right side
    652,440x = 2,054,016,377,856
  5. Step 5: Solve for x
    x = 2,054,016,377,856/652,440
  6. Step 6: Final answer
    x = 3,148,207.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.