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Finding the Third Proportional to 1,429,056.42 and 3,065,331.09

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Solution

The third proportional to 1,429,056.42 and 3,065,331.09 is: 6,575,146.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,056.42 : 3,065,331.09 = 3,065,331.09 : x
  2. Step 2: Convert to fraction form
    1,429,056.42/3,065,331.09 = 3,065,331.09/x
  3. Step 3: Cross multiply
    1,429,056.42x = 3,065,331.09 × 3,065,331.09
  4. Step 4: Simplify right side
    1,429,056.42x = 9,396,254,714,310.57
  5. Step 5: Solve for x
    x = 9,396,254,714,310.57/1,429,056.42
  6. Step 6: Final answer
    x = 6,575,146.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.