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Finding the Third Proportional to 2,544,442 and 5,487,465

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Solution

The third proportional to 2,544,442 and 5,487,465 is: 11,834,528.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544,442 : 5,487,465 = 5,487,465 : x
  2. Step 2: Convert to fraction form
    2,544,442/5,487,465 = 5,487,465/x
  3. Step 3: Cross multiply
    2,544,442x = 5,487,465 × 5,487,465
  4. Step 4: Simplify right side
    2,544,442x = 30,112,272,126,225
  5. Step 5: Solve for x
    x = 30,112,272,126,225/2,544,442
  6. Step 6: Final answer
    x = 11,834,528.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.