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Finding the Third Proportional to 1,130,743.13 and 1,748,606.06

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Solution

The third proportional to 1,130,743.13 and 1,748,606.06 is: 2,704,082.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130,743.13 : 1,748,606.06 = 1,748,606.06 : x
  2. Step 2: Convert to fraction form
    1,130,743.13/1,748,606.06 = 1,748,606.06/x
  3. Step 3: Cross multiply
    1,130,743.13x = 1,748,606.06 × 1,748,606.06
  4. Step 4: Simplify right side
    1,130,743.13x = 3,057,623,161,811.75
  5. Step 5: Solve for x
    x = 3,057,623,161,811.75/1,130,743.13
  6. Step 6: Final answer
    x = 2,704,082.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.