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Finding the Third Proportional to 683,164.13 and 1,460,931.19

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Solution

The third proportional to 683,164.13 and 1,460,931.19 is: 3,124,168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,164.13 : 1,460,931.19 = 1,460,931.19 : x
  2. Step 2: Convert to fraction form
    683,164.13/1,460,931.19 = 1,460,931.19/x
  3. Step 3: Cross multiply
    683,164.13x = 1,460,931.19 × 1,460,931.19
  4. Step 4: Simplify right side
    683,164.13x = 2,134,319,934,610.16
  5. Step 5: Solve for x
    x = 2,134,319,934,610.16/683,164.13
  6. Step 6: Final answer
    x = 3,124,168.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.