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Finding the Third Proportional to 2,000,130.75 and 3,177,342

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Solution

The third proportional to 2,000,130.75 and 3,177,342 is: 5,047,421.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000,130.75 : 3,177,342 = 3,177,342 : x
  2. Step 2: Convert to fraction form
    2,000,130.75/3,177,342 = 3,177,342/x
  3. Step 3: Cross multiply
    2,000,130.75x = 3,177,342 × 3,177,342
  4. Step 4: Simplify right side
    2,000,130.75x = 10,095,502,184,964
  5. Step 5: Solve for x
    x = 10,095,502,184,964/2,000,130.75
  6. Step 6: Final answer
    x = 5,047,421.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.