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Finding the Third Proportional to 467,526 and 1,014,853.50

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Solution

The third proportional to 467,526 and 1,014,853.50 is: 2,202,931.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,526 : 1,014,853.50 = 1,014,853.50 : x
  2. Step 2: Convert to fraction form
    467,526/1,014,853.50 = 1,014,853.50/x
  3. Step 3: Cross multiply
    467,526x = 1,014,853.50 × 1,014,853.50
  4. Step 4: Simplify right side
    467,526x = 1,029,927,626,462.25
  5. Step 5: Solve for x
    x = 1,029,927,626,462.25/467,526
  6. Step 6: Final answer
    x = 2,202,931.23

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.