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Finding the Third Proportional to 1,863,460.69 and 3,941,777.04

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Solution

The third proportional to 1,863,460.69 and 3,941,777.04 is: 8,338,038.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863,460.69 : 3,941,777.04 = 3,941,777.04 : x
  2. Step 2: Convert to fraction form
    1,863,460.69/3,941,777.04 = 3,941,777.04/x
  3. Step 3: Cross multiply
    1,863,460.69x = 3,941,777.04 × 3,941,777.04
  4. Step 4: Simplify right side
    1,863,460.69x = 15,537,606,225,680.33
  5. Step 5: Solve for x
    x = 15,537,606,225,680.33/1,863,460.69
  6. Step 6: Final answer
    x = 8,338,038.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.