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Finding the Third Proportional to 2,510,970 and 5,350,429

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Solution

The third proportional to 2,510,970 and 5,350,429 is: 11,400,809.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510,970 : 5,350,429 = 5,350,429 : x
  2. Step 2: Convert to fraction form
    2,510,970/5,350,429 = 5,350,429/x
  3. Step 3: Cross multiply
    2,510,970x = 5,350,429 × 5,350,429
  4. Step 4: Simplify right side
    2,510,970x = 28,627,090,484,041
  5. Step 5: Solve for x
    x = 28,627,090,484,041/2,510,970
  6. Step 6: Final answer
    x = 11,400,809.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.