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Finding the Third Proportional to 2,952,086.63 and 4,820,491.69

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Solution

The third proportional to 2,952,086.63 and 4,820,491.69 is: 7,871,428.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952,086.63 : 4,820,491.69 = 4,820,491.69 : x
  2. Step 2: Convert to fraction form
    2,952,086.63/4,820,491.69 = 4,820,491.69/x
  3. Step 3: Cross multiply
    2,952,086.63x = 4,820,491.69 × 4,820,491.69
  4. Step 4: Simplify right side
    2,952,086.63x = 23,237,140,109,256.60
  5. Step 5: Solve for x
    x = 23,237,140,109,256.60/2,952,086.63
  6. Step 6: Final answer
    x = 7,871,428.95

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.