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Finding the Third Proportional to 2,009,834.25 and 4,381,036.50

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Solution

The third proportional to 2,009,834.25 and 4,381,036.50 is: 9,549,782.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009,834.25 : 4,381,036.50 = 4,381,036.50 : x
  2. Step 2: Convert to fraction form
    2,009,834.25/4,381,036.50 = 4,381,036.50/x
  3. Step 3: Cross multiply
    2,009,834.25x = 4,381,036.50 × 4,381,036.50
  4. Step 4: Simplify right side
    2,009,834.25x = 19,193,480,814,332.25
  5. Step 5: Solve for x
    x = 19,193,480,814,332.25/2,009,834.25
  6. Step 6: Final answer
    x = 9,549,782.93

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.