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Finding the Third Proportional to 1,407,394.30 and 3,072,856.50

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Solution

The third proportional to 1,407,394.30 and 3,072,856.50 is: 6,709,169.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,394.30 : 3,072,856.50 = 3,072,856.50 : x
  2. Step 2: Convert to fraction form
    1,407,394.30/3,072,856.50 = 3,072,856.50/x
  3. Step 3: Cross multiply
    1,407,394.30x = 3,072,856.50 × 3,072,856.50
  4. Step 4: Simplify right side
    1,407,394.30x = 9,442,447,069,592.25
  5. Step 5: Solve for x
    x = 9,442,447,069,592.25/1,407,394.30
  6. Step 6: Final answer
    x = 6,709,169.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.