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Finding the Third Proportional to 456,688.13 and 1,032,922.13

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Solution

The third proportional to 456,688.13 and 1,032,922.13 is: 2,336,229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,688.13 : 1,032,922.13 = 1,032,922.13 : x
  2. Step 2: Convert to fraction form
    456,688.13/1,032,922.13 = 1,032,922.13/x
  3. Step 3: Cross multiply
    456,688.13x = 1,032,922.13 × 1,032,922.13
  4. Step 4: Simplify right side
    456,688.13x = 1,066,928,116,314.52
  5. Step 5: Solve for x
    x = 1,066,928,116,314.52/456,688.13
  6. Step 6: Final answer
    x = 2,336,229.16

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.