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Finding the Third Proportional to 2,205,346 and 4,748,596

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Solution

The third proportional to 2,205,346 and 4,748,596 is: 10,224,773.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205,346 : 4,748,596 = 4,748,596 : x
  2. Step 2: Convert to fraction form
    2,205,346/4,748,596 = 4,748,596/x
  3. Step 3: Cross multiply
    2,205,346x = 4,748,596 × 4,748,596
  4. Step 4: Simplify right side
    2,205,346x = 22,549,163,971,216
  5. Step 5: Solve for x
    x = 22,549,163,971,216/2,205,346
  6. Step 6: Final answer
    x = 10,224,773.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.