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Finding the Third Proportional to 2,051,594 and 4,749,473

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Solution

The third proportional to 2,051,594 and 4,749,473 is: 10,995,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,594 : 4,749,473 = 4,749,473 : x
  2. Step 2: Convert to fraction form
    2,051,594/4,749,473 = 4,749,473/x
  3. Step 3: Cross multiply
    2,051,594x = 4,749,473 × 4,749,473
  4. Step 4: Simplify right side
    2,051,594x = 22,557,493,777,729
  5. Step 5: Solve for x
    x = 22,557,493,777,729/2,051,594
  6. Step 6: Final answer
    x = 10,995,106.14

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.