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Finding the Third Proportional to 556,006.69 and 1,213,965.19

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Solution

The third proportional to 556,006.69 and 1,213,965.19 is: 2,650,528.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,006.69 : 1,213,965.19 = 1,213,965.19 : x
  2. Step 2: Convert to fraction form
    556,006.69/1,213,965.19 = 1,213,965.19/x
  3. Step 3: Cross multiply
    556,006.69x = 1,213,965.19 × 1,213,965.19
  4. Step 4: Simplify right side
    556,006.69x = 1,473,711,476,461.91
  5. Step 5: Solve for x
    x = 1,473,711,476,461.91/556,006.69
  6. Step 6: Final answer
    x = 2,650,528.33

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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.