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Finding the Third Proportional to 1,302,556 and 1,967,445

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Solution

The third proportional to 1,302,556 and 1,967,445 is: 2,971,726.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,556 : 1,967,445 = 1,967,445 : x
  2. Step 2: Convert to fraction form
    1,302,556/1,967,445 = 1,967,445/x
  3. Step 3: Cross multiply
    1,302,556x = 1,967,445 × 1,967,445
  4. Step 4: Simplify right side
    1,302,556x = 3,870,839,828,025
  5. Step 5: Solve for x
    x = 3,870,839,828,025/1,302,556
  6. Step 6: Final answer
    x = 2,971,726.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.