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Finding the Third Proportional to 656,530.13 and 1,428,090.38

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Solution

The third proportional to 656,530.13 and 1,428,090.38 is: 3,106,395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,530.13 : 1,428,090.38 = 1,428,090.38 : x
  2. Step 2: Convert to fraction form
    656,530.13/1,428,090.38 = 1,428,090.38/x
  3. Step 3: Cross multiply
    656,530.13x = 1,428,090.38 × 1,428,090.38
  4. Step 4: Simplify right side
    656,530.13x = 2,039,442,119,167.64
  5. Step 5: Solve for x
    x = 2,039,442,119,167.64/656,530.13
  6. Step 6: Final answer
    x = 3,106,395.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.