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Finding the Third Proportional to 2,972,120 and 6,514,032

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Solution

The third proportional to 2,972,120 and 6,514,032 is: 14,276,884.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972,120 : 6,514,032 = 6,514,032 : x
  2. Step 2: Convert to fraction form
    2,972,120/6,514,032 = 6,514,032/x
  3. Step 3: Cross multiply
    2,972,120x = 6,514,032 × 6,514,032
  4. Step 4: Simplify right side
    2,972,120x = 42,432,612,897,024
  5. Step 5: Solve for x
    x = 42,432,612,897,024/2,972,120
  6. Step 6: Final answer
    x = 14,276,884.14

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.