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Finding the Third Proportional to 1,909,045.69 and 4,116,956.06

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Solution

The third proportional to 1,909,045.69 and 4,116,956.06 is: 8,878,429.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909,045.69 : 4,116,956.06 = 4,116,956.06 : x
  2. Step 2: Convert to fraction form
    1,909,045.69/4,116,956.06 = 4,116,956.06/x
  3. Step 3: Cross multiply
    1,909,045.69x = 4,116,956.06 × 4,116,956.06
  4. Step 4: Simplify right side
    1,909,045.69x = 16,949,327,220,555.50
  5. Step 5: Solve for x
    x = 16,949,327,220,555.50/1,909,045.69
  6. Step 6: Final answer
    x = 8,878,429.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.