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Finding the Third Proportional to 2,736,564 and 4,292,835

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Solution

The third proportional to 2,736,564 and 4,292,835 is: 6,734,149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736,564 : 4,292,835 = 4,292,835 : x
  2. Step 2: Convert to fraction form
    2,736,564/4,292,835 = 4,292,835/x
  3. Step 3: Cross multiply
    2,736,564x = 4,292,835 × 4,292,835
  4. Step 4: Simplify right side
    2,736,564x = 18,428,432,337,225
  5. Step 5: Solve for x
    x = 18,428,432,337,225/2,736,564
  6. Step 6: Final answer
    x = 6,734,149.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.