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Finding the Third Proportional to 539,822.81 and 1,154,368.13

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Solution

The third proportional to 539,822.81 and 1,154,368.13 is: 2,468,524.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,822.81 : 1,154,368.13 = 1,154,368.13 : x
  2. Step 2: Convert to fraction form
    539,822.81/1,154,368.13 = 1,154,368.13/x
  3. Step 3: Cross multiply
    539,822.81x = 1,154,368.13 × 1,154,368.13
  4. Step 4: Simplify right side
    539,822.81x = 1,332,565,768,016.02
  5. Step 5: Solve for x
    x = 1,332,565,768,016.02/539,822.81
  6. Step 6: Final answer
    x = 2,468,524.37

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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.