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Finding the Third Proportional to 2,270,340 and 4,849,128

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Solution

The third proportional to 2,270,340 and 4,849,128 is: 10,357,057.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270,340 : 4,849,128 = 4,849,128 : x
  2. Step 2: Convert to fraction form
    2,270,340/4,849,128 = 4,849,128/x
  3. Step 3: Cross multiply
    2,270,340x = 4,849,128 × 4,849,128
  4. Step 4: Simplify right side
    2,270,340x = 23,514,042,360,384
  5. Step 5: Solve for x
    x = 23,514,042,360,384/2,270,340
  6. Step 6: Final answer
    x = 10,357,057.69

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.