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Finding the Third Proportional to 826,482.66 and 1,277,126.16

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Solution

The third proportional to 826,482.66 and 1,277,126.16 is: 1,973,485.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,482.66 : 1,277,126.16 = 1,277,126.16 : x
  2. Step 2: Convert to fraction form
    826,482.66/1,277,126.16 = 1,277,126.16/x
  3. Step 3: Cross multiply
    826,482.66x = 1,277,126.16 × 1,277,126.16
  4. Step 4: Simplify right side
    826,482.66x = 1,631,051,218,977.90
  5. Step 5: Solve for x
    x = 1,631,051,218,977.90/826,482.66
  6. Step 6: Final answer
    x = 1,973,485.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.