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Finding the Third Proportional to 503,840 and 1,064,556

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Solution

The third proportional to 503,840 and 1,064,556 is: 2,249,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,840 : 1,064,556 = 1,064,556 : x
  2. Step 2: Convert to fraction form
    503,840/1,064,556 = 1,064,556/x
  3. Step 3: Cross multiply
    503,840x = 1,064,556 × 1,064,556
  4. Step 4: Simplify right side
    503,840x = 1,133,279,477,136
  5. Step 5: Solve for x
    x = 1,133,279,477,136/503,840
  6. Step 6: Final answer
    x = 2,249,284.45

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.