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Finding the Third Proportional to 2,661,114 and 4,169,695.50

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Solution

The third proportional to 2,661,114 and 4,169,695.50 is: 6,533,489.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661,114 : 4,169,695.50 = 4,169,695.50 : x
  2. Step 2: Convert to fraction form
    2,661,114/4,169,695.50 = 4,169,695.50/x
  3. Step 3: Cross multiply
    2,661,114x = 4,169,695.50 × 4,169,695.50
  4. Step 4: Simplify right side
    2,661,114x = 17,386,360,562,720.25
  5. Step 5: Solve for x
    x = 17,386,360,562,720.25/2,661,114
  6. Step 6: Final answer
    x = 6,533,489.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.