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Finding the Third Proportional to 2,270,343.50 and 4,849,135

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Solution

The third proportional to 2,270,343.50 and 4,849,135 is: 10,357,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270,343.50 : 4,849,135 = 4,849,135 : x
  2. Step 2: Convert to fraction form
    2,270,343.50/4,849,135 = 4,849,135/x
  3. Step 3: Cross multiply
    2,270,343.50x = 4,849,135 × 4,849,135
  4. Step 4: Simplify right side
    2,270,343.50x = 23,514,110,248,225
  5. Step 5: Solve for x
    x = 23,514,110,248,225/2,270,343.50
  6. Step 6: Final answer
    x = 10,357,071.63

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Why These Related Problems?

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