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Finding the Third Proportional to 1,665,316.13 and 3,461,535

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Solution

The third proportional to 1,665,316.13 and 3,461,535 is: 7,195,165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665,316.13 : 3,461,535 = 3,461,535 : x
  2. Step 2: Convert to fraction form
    1,665,316.13/3,461,535 = 3,461,535/x
  3. Step 3: Cross multiply
    1,665,316.13x = 3,461,535 × 3,461,535
  4. Step 4: Simplify right side
    1,665,316.13x = 11,982,224,556,225
  5. Step 5: Solve for x
    x = 11,982,224,556,225/1,665,316.13
  6. Step 6: Final answer
    x = 7,195,165.16

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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.