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Finding the Third Proportional to 520,606 and 1,055,702

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Solution

The third proportional to 520,606 and 1,055,702 is: 2,140,787.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,606 : 1,055,702 = 1,055,702 : x
  2. Step 2: Convert to fraction form
    520,606/1,055,702 = 1,055,702/x
  3. Step 3: Cross multiply
    520,606x = 1,055,702 × 1,055,702
  4. Step 4: Simplify right side
    520,606x = 1,114,506,712,804
  5. Step 5: Solve for x
    x = 1,114,506,712,804/520,606
  6. Step 6: Final answer
    x = 2,140,787.30

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.