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Finding the Third Proportional to 2,051,416 and 4,464,056

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Solution

The third proportional to 2,051,416 and 4,464,056 is: 9,714,166.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,416 : 4,464,056 = 4,464,056 : x
  2. Step 2: Convert to fraction form
    2,051,416/4,464,056 = 4,464,056/x
  3. Step 3: Cross multiply
    2,051,416x = 4,464,056 × 4,464,056
  4. Step 4: Simplify right side
    2,051,416x = 19,927,795,971,136
  5. Step 5: Solve for x
    x = 19,927,795,971,136/2,051,416
  6. Step 6: Final answer
    x = 9,714,166.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.