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Finding the Third Proportional to 1,538,064.70 and 3,312,781.03

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Solution

The third proportional to 1,538,064.70 and 3,312,781.03 is: 7,135,277.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,064.70 : 3,312,781.03 = 3,312,781.03 : x
  2. Step 2: Convert to fraction form
    1,538,064.70/3,312,781.03 = 3,312,781.03/x
  3. Step 3: Cross multiply
    1,538,064.70x = 3,312,781.03 × 3,312,781.03
  4. Step 4: Simplify right side
    1,538,064.70x = 10,974,518,161,009.81
  5. Step 5: Solve for x
    x = 10,974,518,161,009.81/1,538,064.70
  6. Step 6: Final answer
    x = 7,135,277.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.