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Finding the Third Proportional to 1,017,443.50 and 2,118,616.50

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Solution

The third proportional to 1,017,443.50 and 2,118,616.50 is: 4,411,582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017,443.50 : 2,118,616.50 = 2,118,616.50 : x
  2. Step 2: Convert to fraction form
    1,017,443.50/2,118,616.50 = 2,118,616.50/x
  3. Step 3: Cross multiply
    1,017,443.50x = 2,118,616.50 × 2,118,616.50
  4. Step 4: Simplify right side
    1,017,443.50x = 4,488,535,874,072.25
  5. Step 5: Solve for x
    x = 4,488,535,874,072.25/1,017,443.50
  6. Step 6: Final answer
    x = 4,411,582.44

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.