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Finding the Third Proportional to 2,210,022.98 and 3,323,259.14

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Solution

The third proportional to 2,210,022.98 and 3,323,259.14 is: 4,997,256.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210,022.98 : 3,323,259.14 = 3,323,259.14 : x
  2. Step 2: Convert to fraction form
    2,210,022.98/3,323,259.14 = 3,323,259.14/x
  3. Step 3: Cross multiply
    2,210,022.98x = 3,323,259.14 × 3,323,259.14
  4. Step 4: Simplify right side
    2,210,022.98x = 11,044,051,315,747.61
  5. Step 5: Solve for x
    x = 11,044,051,315,747.61/2,210,022.98
  6. Step 6: Final answer
    x = 4,997,256.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.