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Finding the Third Proportional to 2,214,712 and 3,416,511

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Solution

The third proportional to 2,214,712 and 3,416,511 is: 5,270,458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214,712 : 3,416,511 = 3,416,511 : x
  2. Step 2: Convert to fraction form
    2,214,712/3,416,511 = 3,416,511/x
  3. Step 3: Cross multiply
    2,214,712x = 3,416,511 × 3,416,511
  4. Step 4: Simplify right side
    2,214,712x = 11,672,547,413,121
  5. Step 5: Solve for x
    x = 11,672,547,413,121/2,214,712
  6. Step 6: Final answer
    x = 5,270,458.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.