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Finding the Third Proportional to 1,032,870 and 2,264,820

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Solution

The third proportional to 1,032,870 and 2,264,820 is: 4,966,171.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,870 : 2,264,820 = 2,264,820 : x
  2. Step 2: Convert to fraction form
    1,032,870/2,264,820 = 2,264,820/x
  3. Step 3: Cross multiply
    1,032,870x = 2,264,820 × 2,264,820
  4. Step 4: Simplify right side
    1,032,870x = 5,129,409,632,400
  5. Step 5: Solve for x
    x = 5,129,409,632,400/1,032,870
  6. Step 6: Final answer
    x = 4,966,171.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.