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Finding the Third Proportional to 826,660 and 1,170,045

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Solution

The third proportional to 826,660 and 1,170,045 is: 1,656,068.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,660 : 1,170,045 = 1,170,045 : x
  2. Step 2: Convert to fraction form
    826,660/1,170,045 = 1,170,045/x
  3. Step 3: Cross multiply
    826,660x = 1,170,045 × 1,170,045
  4. Step 4: Simplify right side
    826,660x = 1,369,005,302,025
  5. Step 5: Solve for x
    x = 1,369,005,302,025/826,660
  6. Step 6: Final answer
    x = 1,656,068.16

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.