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Finding the Third Proportional to 1,005,842.81 and 2,155,503.66

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Solution

The third proportional to 1,005,842.81 and 2,155,503.66 is: 4,619,206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,842.81 : 2,155,503.66 = 2,155,503.66 : x
  2. Step 2: Convert to fraction form
    1,005,842.81/2,155,503.66 = 2,155,503.66/x
  3. Step 3: Cross multiply
    1,005,842.81x = 2,155,503.66 × 2,155,503.66
  4. Step 4: Simplify right side
    1,005,842.81x = 4,646,196,012,107.12
  5. Step 5: Solve for x
    x = 4,646,196,012,107.12/1,005,842.81
  6. Step 6: Final answer
    x = 4,619,206.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.