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Finding the Third Proportional to 859,266.50 and 1,866,322.50

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Solution

The third proportional to 859,266.50 and 1,866,322.50 is: 4,053,643.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,266.50 : 1,866,322.50 = 1,866,322.50 : x
  2. Step 2: Convert to fraction form
    859,266.50/1,866,322.50 = 1,866,322.50/x
  3. Step 3: Cross multiply
    859,266.50x = 1,866,322.50 × 1,866,322.50
  4. Step 4: Simplify right side
    859,266.50x = 3,483,159,674,006.25
  5. Step 5: Solve for x
    x = 3,483,159,674,006.25/859,266.50
  6. Step 6: Final answer
    x = 4,053,643.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.