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Finding the Third Proportional to 1,570,947 and 2,457,508.50

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Solution

The third proportional to 1,570,947 and 2,457,508.50 is: 3,844,399.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570,947 : 2,457,508.50 = 2,457,508.50 : x
  2. Step 2: Convert to fraction form
    1,570,947/2,457,508.50 = 2,457,508.50/x
  3. Step 3: Cross multiply
    1,570,947x = 2,457,508.50 × 2,457,508.50
  4. Step 4: Simplify right side
    1,570,947x = 6,039,348,027,572.25
  5. Step 5: Solve for x
    x = 6,039,348,027,572.25/1,570,947
  6. Step 6: Final answer
    x = 3,844,399.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.