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Finding the Third Proportional to 777,677.63 and 1,617,434.16

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Solution

The third proportional to 777,677.63 and 1,617,434.16 is: 3,363,981.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,677.63 : 1,617,434.16 = 1,617,434.16 : x
  2. Step 2: Convert to fraction form
    777,677.63/1,617,434.16 = 1,617,434.16/x
  3. Step 3: Cross multiply
    777,677.63x = 1,617,434.16 × 1,617,434.16
  4. Step 4: Simplify right side
    777,677.63x = 2,616,093,249,804.15
  5. Step 5: Solve for x
    x = 2,616,093,249,804.15/777,677.63
  6. Step 6: Final answer
    x = 3,363,981.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.