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Finding the Third Proportional to 1,025,011.13 and 2,176,156.13

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Solution

The third proportional to 1,025,011.13 and 2,176,156.13 is: 4,620,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,011.13 : 2,176,156.13 = 2,176,156.13 : x
  2. Step 2: Convert to fraction form
    1,025,011.13/2,176,156.13 = 2,176,156.13/x
  3. Step 3: Cross multiply
    1,025,011.13x = 2,176,156.13 × 2,176,156.13
  4. Step 4: Simplify right side
    1,025,011.13x = 4,735,655,480,375.02
  5. Step 5: Solve for x
    x = 4,735,655,480,375.02/1,025,011.13
  6. Step 6: Final answer
    x = 4,620,101.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.