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Finding the Third Proportional to 1,312,050 and 1,957,947.75

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Solution

The third proportional to 1,312,050 and 1,957,947.75 is: 2,921,808.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,050 : 1,957,947.75 = 1,957,947.75 : x
  2. Step 2: Convert to fraction form
    1,312,050/1,957,947.75 = 1,957,947.75/x
  3. Step 3: Cross multiply
    1,312,050x = 1,957,947.75 × 1,957,947.75
  4. Step 4: Simplify right side
    1,312,050x = 3,833,559,391,730.06
  5. Step 5: Solve for x
    x = 3,833,559,391,730.06/1,312,050
  6. Step 6: Final answer
    x = 2,921,808.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.