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Finding the Third Proportional to 2,356,875 and 3,765,676.50

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Solution

The third proportional to 2,356,875 and 3,765,676.50 is: 6,016,576.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356,875 : 3,765,676.50 = 3,765,676.50 : x
  2. Step 2: Convert to fraction form
    2,356,875/3,765,676.50 = 3,765,676.50/x
  3. Step 3: Cross multiply
    2,356,875x = 3,765,676.50 × 3,765,676.50
  4. Step 4: Simplify right side
    2,356,875x = 14,180,319,502,652.25
  5. Step 5: Solve for x
    x = 14,180,319,502,652.25/2,356,875
  6. Step 6: Final answer
    x = 6,016,576.82

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.