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Finding the Third Proportional to 2,938,416 and 6,174,282

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Solution

The third proportional to 2,938,416 and 6,174,282 is: 12,973,574.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938,416 : 6,174,282 = 6,174,282 : x
  2. Step 2: Convert to fraction form
    2,938,416/6,174,282 = 6,174,282/x
  3. Step 3: Cross multiply
    2,938,416x = 6,174,282 × 6,174,282
  4. Step 4: Simplify right side
    2,938,416x = 38,121,758,215,524
  5. Step 5: Solve for x
    x = 38,121,758,215,524/2,938,416
  6. Step 6: Final answer
    x = 12,973,574.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.