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Finding the Third Proportional to 2,708,259.75 and 4,207,005

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Solution

The third proportional to 2,708,259.75 and 4,207,005 is: 6,535,152.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708,259.75 : 4,207,005 = 4,207,005 : x
  2. Step 2: Convert to fraction form
    2,708,259.75/4,207,005 = 4,207,005/x
  3. Step 3: Cross multiply
    2,708,259.75x = 4,207,005 × 4,207,005
  4. Step 4: Simplify right side
    2,708,259.75x = 17,698,891,070,025
  5. Step 5: Solve for x
    x = 17,698,891,070,025/2,708,259.75
  6. Step 6: Final answer
    x = 6,535,152.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.