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Finding the Third Proportional to 653,095.01 and 1,415,176.95

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Solution

The third proportional to 653,095.01 and 1,415,176.95 is: 3,066,515.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,095.01 : 1,415,176.95 = 1,415,176.95 : x
  2. Step 2: Convert to fraction form
    653,095.01/1,415,176.95 = 1,415,176.95/x
  3. Step 3: Cross multiply
    653,095.01x = 1,415,176.95 × 1,415,176.95
  4. Step 4: Simplify right side
    653,095.01x = 2,002,725,786,544.02
  5. Step 5: Solve for x
    x = 2,002,725,786,544.02/653,095.01
  6. Step 6: Final answer
    x = 3,066,515.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.