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Finding the Third Proportional to 493,211 and 1,075,784.50

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Solution

The third proportional to 493,211 and 1,075,784.50 is: 2,346,485.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,211 : 1,075,784.50 = 1,075,784.50 : x
  2. Step 2: Convert to fraction form
    493,211/1,075,784.50 = 1,075,784.50/x
  3. Step 3: Cross multiply
    493,211x = 1,075,784.50 × 1,075,784.50
  4. Step 4: Simplify right side
    493,211x = 1,157,312,290,440.25
  5. Step 5: Solve for x
    x = 1,157,312,290,440.25/493,211
  6. Step 6: Final answer
    x = 2,346,485.16

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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.