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Finding the Third Proportional to 1,439,407.13 and 3,078,094.50

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Solution

The third proportional to 1,439,407.13 and 3,078,094.50 is: 6,582,339.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439,407.13 : 3,078,094.50 = 3,078,094.50 : x
  2. Step 2: Convert to fraction form
    1,439,407.13/3,078,094.50 = 3,078,094.50/x
  3. Step 3: Cross multiply
    1,439,407.13x = 3,078,094.50 × 3,078,094.50
  4. Step 4: Simplify right side
    1,439,407.13x = 9,474,665,750,930.25
  5. Step 5: Solve for x
    x = 9,474,665,750,930.25/1,439,407.13
  6. Step 6: Final answer
    x = 6,582,339.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.