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Finding the Third Proportional to 2,909,924 and 6,323,560

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Solution

The third proportional to 2,909,924 and 6,323,560 is: 13,741,737.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909,924 : 6,323,560 = 6,323,560 : x
  2. Step 2: Convert to fraction form
    2,909,924/6,323,560 = 6,323,560/x
  3. Step 3: Cross multiply
    2,909,924x = 6,323,560 × 6,323,560
  4. Step 4: Simplify right side
    2,909,924x = 39,987,411,073,600
  5. Step 5: Solve for x
    x = 39,987,411,073,600/2,909,924
  6. Step 6: Final answer
    x = 13,741,737.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.