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Finding the Third Proportional to 1,306,449 and 2,052,985.50

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Solution

The third proportional to 1,306,449 and 2,052,985.50 is: 3,226,110.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,449 : 2,052,985.50 = 2,052,985.50 : x
  2. Step 2: Convert to fraction form
    1,306,449/2,052,985.50 = 2,052,985.50/x
  3. Step 3: Cross multiply
    1,306,449x = 2,052,985.50 × 2,052,985.50
  4. Step 4: Simplify right side
    1,306,449x = 4,214,749,463,210.25
  5. Step 5: Solve for x
    x = 4,214,749,463,210.25/1,306,449
  6. Step 6: Final answer
    x = 3,226,110.98

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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.