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Finding the Third Proportional to 493,213 and 1,075,789

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Solution

The third proportional to 493,213 and 1,075,789 is: 2,346,495.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,213 : 1,075,789 = 1,075,789 : x
  2. Step 2: Convert to fraction form
    493,213/1,075,789 = 1,075,789/x
  3. Step 3: Cross multiply
    493,213x = 1,075,789 × 1,075,789
  4. Step 4: Simplify right side
    493,213x = 1,157,321,972,521
  5. Step 5: Solve for x
    x = 1,157,321,972,521/493,213
  6. Step 6: Final answer
    x = 2,346,495.27

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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.