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Finding the Third Proportional to 1,058,209.50 and 1,596,864

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Solution

The third proportional to 1,058,209.50 and 1,596,864 is: 2,409,706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058,209.50 : 1,596,864 = 1,596,864 : x
  2. Step 2: Convert to fraction form
    1,058,209.50/1,596,864 = 1,596,864/x
  3. Step 3: Cross multiply
    1,058,209.50x = 1,596,864 × 1,596,864
  4. Step 4: Simplify right side
    1,058,209.50x = 2,549,974,634,496
  5. Step 5: Solve for x
    x = 2,549,974,634,496/1,058,209.50
  6. Step 6: Final answer
    x = 2,409,706.81

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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.