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Finding the Third Proportional to 2,852,460 and 6,264,720

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Solution

The third proportional to 2,852,460 and 6,264,720 is: 13,758,901.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852,460 : 6,264,720 = 6,264,720 : x
  2. Step 2: Convert to fraction form
    2,852,460/6,264,720 = 6,264,720/x
  3. Step 3: Cross multiply
    2,852,460x = 6,264,720 × 6,264,720
  4. Step 4: Simplify right side
    2,852,460x = 39,246,716,678,400
  5. Step 5: Solve for x
    x = 39,246,716,678,400/2,852,460
  6. Step 6: Final answer
    x = 13,758,901.68

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Why These Related Problems?

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