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Finding the Third Proportional to 1,277,011.51 and 1,911,999.70

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Solution

The third proportional to 1,277,011.51 and 1,911,999.70 is: 2,862,732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,011.51 : 1,911,999.70 = 1,911,999.70 : x
  2. Step 2: Convert to fraction form
    1,277,011.51/1,911,999.70 = 1,911,999.70/x
  3. Step 3: Cross multiply
    1,277,011.51x = 1,911,999.70 × 1,911,999.70
  4. Step 4: Simplify right side
    1,277,011.51x = 3,655,742,853,546.92
  5. Step 5: Solve for x
    x = 3,655,742,853,546.92/1,277,011.51
  6. Step 6: Final answer
    x = 2,862,732.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.