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Finding the Third Proportional to 608,874.47 and 1,321,477.66

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Solution

The third proportional to 608,874.47 and 1,321,477.66 is: 2,868,084.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,874.47 : 1,321,477.66 = 1,321,477.66 : x
  2. Step 2: Convert to fraction form
    608,874.47/1,321,477.66 = 1,321,477.66/x
  3. Step 3: Cross multiply
    608,874.47x = 1,321,477.66 × 1,321,477.66
  4. Step 4: Simplify right side
    608,874.47x = 1,746,303,216,616.08
  5. Step 5: Solve for x
    x = 1,746,303,216,616.08/608,874.47
  6. Step 6: Final answer
    x = 2,868,084.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.