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Finding the Third Proportional to 1,357,589.11 and 2,012,901.89

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Solution

The third proportional to 1,357,589.11 and 2,012,901.89 is: 2,984,536.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357,589.11 : 2,012,901.89 = 2,012,901.89 : x
  2. Step 2: Convert to fraction form
    1,357,589.11/2,012,901.89 = 2,012,901.89/x
  3. Step 3: Cross multiply
    1,357,589.11x = 2,012,901.89 × 2,012,901.89
  4. Step 4: Simplify right side
    1,357,589.11x = 4,051,774,021,281.70
  5. Step 5: Solve for x
    x = 4,051,774,021,281.70/1,357,589.11
  6. Step 6: Final answer
    x = 2,984,536.33

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.