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Finding the Third Proportional to 4,884,322 and 7,180,169

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Solution

The third proportional to 4,884,322 and 7,180,169 is: 10,555,165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884,322 : 7,180,169 = 7,180,169 : x
  2. Step 2: Convert to fraction form
    4,884,322/7,180,169 = 7,180,169/x
  3. Step 3: Cross multiply
    4,884,322x = 7,180,169 × 7,180,169
  4. Step 4: Simplify right side
    4,884,322x = 51,554,826,868,561
  5. Step 5: Solve for x
    x = 51,554,826,868,561/4,884,322
  6. Step 6: Final answer
    x = 10,555,165.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.