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Finding the Third Proportional to 834,075 and 1,821,058.50

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Solution

The third proportional to 834,075 and 1,821,058.50 is: 3,975,966.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,075 : 1,821,058.50 = 1,821,058.50 : x
  2. Step 2: Convert to fraction form
    834,075/1,821,058.50 = 1,821,058.50/x
  3. Step 3: Cross multiply
    834,075x = 1,821,058.50 × 1,821,058.50
  4. Step 4: Simplify right side
    834,075x = 3,316,254,060,422.25
  5. Step 5: Solve for x
    x = 3,316,254,060,422.25/834,075
  6. Step 6: Final answer
    x = 3,975,966.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.