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Finding the Third Proportional to 2,912,574 and 6,385,020

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Solution

The third proportional to 2,912,574 and 6,385,020 is: 13,997,405.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912,574 : 6,385,020 = 6,385,020 : x
  2. Step 2: Convert to fraction form
    2,912,574/6,385,020 = 6,385,020/x
  3. Step 3: Cross multiply
    2,912,574x = 6,385,020 × 6,385,020
  4. Step 4: Simplify right side
    2,912,574x = 40,768,480,400,400
  5. Step 5: Solve for x
    x = 40,768,480,400,400/2,912,574
  6. Step 6: Final answer
    x = 13,997,405.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.